{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']  # 用来正常显示中文标签\n",
    "plt.rcParams['axes.unicode_minus'] = False  # 用来正常显示负号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.markers import MarkerStyle\n",
    "from matplotlib.patches import Ellipse\n",
    "from matplotlib.transforms import Affine2D\n",
    "\n",
    "# Create a figure and axis\n",
    "fig, ax = plt.subplots(subplot_kw={\"aspect\": \"equal\"})\n",
    "\n",
    "ellipse = Ellipse(\n",
    "    xy=(2, 4),\n",
    "    width=30,\n",
    "    height=20,\n",
    "    angle=35,\n",
    "    facecolor=\"none\",\n",
    "    edgecolor=\"b\"\n",
    ")\n",
    "ax.add_patch(ellipse)\n",
    "ax.set_title(\"绘制椭圆,并在椭圆上绘制箭头\")\n",
    "\n",
    "# Plot an arrow marker at the end point of minor axis\n",
    "x = 2 - 10 * np.sin(np.deg2rad(35))\n",
    "y = 4 + 10 * np.cos(np.deg2rad(35))\n",
    "t = Affine2D().rotate_deg(ellipse.angle)\n",
    "ax.plot(\n",
    "    x,\n",
    "    y,\n",
    "    color=\"b\",\n",
    "    marker=MarkerStyle(\">\", \"full\", t),\n",
    "    markersize=10\n",
    ")\n",
    "# Note: To reverse the orientation arrow, switch the marker type from > to <.\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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z+edTefLJV0hJcZ6Ry8iAMB8+upwcUa6oyPl4WJg4B6AoFs6dW8S5c4uoU2co7dp9gNncOEg9kEhCnyo5s6EXAx2qvg2BMHZF6AmNQAiVflQFCgsv8umng7jnnn9z4YIQGkajeIEQGxkZpdfz999CaISFieUUg8EhPv7+u2T5tLQV/PlnJ86e/TSIvZFIQpsqJzb0ZKClb4MD6dsQOv2oCly48CN//tmZb75ZBUDDhjBlCixfLpZFzPaPPymp9LrUMgkJ8NFH4pWQII65ExsARUUXOXjwIfbsuYnMTB9uIpFUc6qU2NCbgZa+DQ6qu29DqPSjKpCU9DJ79w6loOAUubkwaRIsXAjXXAOxsfDww/DZZ3DbbXDqlPe60tOhdWuYMwemT4eWLcVr+nR4/31o1UqU8URa2gpee60r+/d/H9Q+SiShRpXx2dCjgZa+DQ6qs29DqPRD7yiKwpEj/+TUqXeLjz37rHu/jNq1Ydw4sJay27lGDXjjDffnOnaEN98svY5rr80mLe0+0tO/o3bta7wXlkiqKVViZkOPQkP6NpQN2Q9BMPqx73z1yI1y5MiTTkIDSncALet5X+uwWrPYu3cIFy9uKr1CiaQaonuxEUpCA6RvA8h+qASjH1tPiVxAoc6xY9M5deq9ym6GV2y2PPbuHUZW1s7KbopEojt0LTZCTWiA9G2Q/RAES2jcsCiHVnV0/W8cFE6ceL2ym+ATVmsG+/YNp6jIh20wEkk1IuBvqUGDBrFgwYIgNsWZfedDT2iA9G2Q/Qiu0OhcP4z3BgfmqFzV+P132Lw58OsVBebP9207rCcyMkQd3rBYTnLkyITAbyKRhCABiY0lS5awatWqYLfFCenbIJD9EOjFt0EP/XCd8QtEwFY1FAVeeAGef168D4S9e2HJEhg7NvB2jB0r6ti713u5s2c/5sKFlYHfSCIJMfwWG2lpaUycOJF27dqVR3uKkb4Nsh8qevFt0Es/yjrjVxX580/H+y0BRgxfsUL8TEuDvDz/r8/Lc+RYUevyxqFDj8jlFInEjt9iY+LEiYwYMYIENepNOSF9G2Q/QD++DXrqR3UTGgCLFzuig37yif+zG6dOwc8/i/cWiwj+5S/ffiuuBVizpvQYHgUFpzh6dJL/N5JIQhC/4mysX7+etWvXsn//fsaPH++1rMViwaL+ZwKZmZl+NUz6Nsh+BNtAz7rezFULcv26PjHFxvwdBczdVsiY3uEMaWPyO1V9ToEIbX80zcacoZGYjPhdx77zYmamVR0js643c1gTvTYxJfBItlUFbSTPw4fhgQegRQto0gSaNYN27URwLgCbDf74A06eFK8TJ+DoURGGHIRQ+egjkWK+eXNo2lS8evQQ8TlABPLaudNRR3KyqEMVOQaDWFJp1UrcX63jsssc4dKPHIGVKz/m2Wefo06dSyviY5JIdIvPYiM/P5/HHnuMuXPnEhcXV2r5mTNnMnXq1DI1zh/0YNiCgR76Eaq+DYf9CC9vsVgwGmDkN4759rnbCpm7rdDvdmh58NuyLeXsOWdzK5iMBpzEfahz8qSYWVAUqFMH3nrLcc5ohNRUERXUE0VFcOgQ/PWXqKN/f7jiCsf5mBhYu1Y4pRoMJWdSrFbIzBSCZOdOUWbCBIfQAJG+fv58K0VFj/LGGz8Hp+MSSRXFZ7Exbdo0+vTpw9ChQ30qP3nyZCZMcHhkZ2Zm0qxZM/9b6AN6MGzBQA/9kL4NArPZjM1uYKLa9Se6TT+/2xAMitLPkLHla0xxdamRcDsGU0TJMhnnyNi0GLPZ/8+6KmM0Qs2a8M47YlZBy7BhIrX86/Yds96WXa68UqSiDw93HIuIgH//G6ZNg19/9XytOlvyzDMwaJDzuUsuEW2bPn0js2cXYHIzdhJJdcFnsbF06VJSUlKoVasWALm5uXz55Zds3bqVOW4eIcxmc4V8+enBsAUDPfRD69uw51xgU/N66kcwfBtiewym7o1PBHx9WbCcPkTa6rmYG7ai/h1TMZqj3Zc7e4SMTYsruHWVi9Eoljz++19o1Mh9mcGDheCYOdP9eYNB5FN5/nlRzpXwcHj5ZXj1VdiwwbNgmTwZbrjB/bmmTeHllwv53/+mc9ddr5TaL4kkVPHZY27Tpk3s27ePXbt2sWvXLoYPH84rr7zCK69U3j+QHgxbMNBDP4IRt0Fv/QiGE2Vs14Fluj5QLKcPce6Ll4iod4lXoVGdufVWz0JD5YYbRGI1dygKPPKIe6GhYjKJMp6ExqWXehYaKo0bw/Hj33kvJJGEOD6LjaZNm9KiRYviV2xsLPHx8cTHx5dn+zyiB8MWqr4NgTjnzt9RoLt+VNXdGlJouEfdjQJiVuL48dKvsdmEg6i2Di3HjpVeh+t9tHWcOCHuURobN+6jqKig9IISSYgS8F7ABQsW8NBDDwWxKb6jFwMtfRsczN1WGBL9qGyk0PBMs2biBcJB88iR0q85cwYKCx2+FX36QFSUQzD4IjaSksRPoxGio6F3b/G7wQAFBXD2bOl1JCZa2bHDh+AcEkmIUmVSzKvoyUBL3wYHY3qHh0Q/KhMpNDzz9NPCBwNg3ToRMvzkSSE6vGVlVcVE374werTYHpuVBZ9/Dl995RAS3khKEg6jt98Od98NcXFC6MyfL7bYHjsmlko8YbWKtu7Zs5a+fUf42mWJJKSoUmJDbwY6kLgNoL9+BMNAj+7pv6e9HvtRWUih4Z1rrnHMRgwYIH7/8Uex/VSNjeGO8HDhRNqli+NYXJzww7j1VtjkQ0b4Tp1gzBixxValdWuYNUuELS8tGmlmJjzxhPPWWomkulFl0kXq0UBL34bACZV+BINQERpPPvkkBoOh+NXaHmVr37599OnTh9q1azNp0iSUQJObaDCZYPhw70IDxIyGVmhoqVsXbrml9Hvdcouz0NDSpYu4hzdq1xZtzc2Vqecl1ZcqITb0KDSkb0PghEo/gkGoCA2Abdu2sWLFCtLT00lPT2fnzp1YLBaGDRtGr1692LZtGwcOHCjXbNF6Ji/PBycTiSRE0b3YCCWhAdK3IVT6EQxCSWgUFRWxf/9+rrrqKmrVqkWtWrWIi4tj5cqVZGRk8Oabb9KqVStmzJjBRx99VNnNrRRstgCyv0kkIYKuxUaoCQ2o3r4NodKPYBBKQgNg79692Gw2unfvTlRUFIMGDSI5OZndu3eTkJBAdLToX9euXTlw4IDHeiwWC5mZmU6vUMFmK9vuNYl+CcbSYKijW7EhfRsEsh8O9NCPYBBqQgPgwIEDtGvXjkWLFrFnzx5MJhOPPvoomZmZtNRE1TIYDISFhZGenu62npkzZ1KzZs3ilz8pDn7+Ga69Vuw2CZTHHoPHHw/8+qws0Yaf3aZCqZp/rxLvJKUk0f2W7pXdDN2jW7EhfRtkP7QEox/zd1R+UKVQFBoA9913H9u2baNfv360adOGOXPmsGbNGmw2W4m0BZGRkeTmut/FNXnyZDIyMopfJ7QRuUrhgw/Ezx07AutDbq5IzHboUOk7TDyh3nv+/JLnjMbAIvNK9IuiKNw5/U72fL+HNdvWVHZzdI1uxYb0bZD9UAlGP6ZvtJQ5Y2tZCVWh4Y769etjs9lo2LAhKSkpTueysrKIiHC/nGg2m6lRo4bTyxdOnhSZXgGWLPGeeM0Ty5e7f+8riiLuDXD+vMhKqyUsLHTHu7qydO9SttXcBnfAB/s/qOzm6Brdig3p2yD7AcETGi+ttzCmd3jphcuJUBcakyZNYunSpcW/b968GaPRSJcuXdi8eXPx8aSkJCwWC3U87SX1E5sNUlLgo48ccTgOH4ZVqyA727c6CgpE4K7PPnMc++wzcazAx8mw7Gxxz8OHxe9Go2hTSoojnHl0dHvfKpNUCc5mn2X8yvEQBnSEZceXcTD1YGU3S7dUqaBe3tCLYSsrsh8Ogik0pl1rZkgbU6XMboS60ADo1q0bL774Ig0aNMBqtTJ+/HgeeOABbrzxRjIzM/nkk08YNWoUM2bMYMCAAYR5C/vphtRUiIkR78+fh/ffF5E71XDkWoxGmD1bvGJjRebV7t1FIC9VkGzaBN99J+pISxOCwKD588rKgocfFuXr1hXp4ocPF+noQZT/8EPYtUvMqqjCxmgU56xWWL9evMLDRcK48eOj6N7dv89Vok8UReHxHx4nPd/he2RTbEzfOJ3Ft1avDMy+otuZDX/Qi2ErK3rpR1l9G/TSj7LuZgoG1UFoAIwcOZK77rqL2267jXvuuYdBgwbx3nvvYTKZmD9/PuPGjSM+Pp7ly5cze/Zsv+vX5nusX18E0jpxoqTQAOfEaNnZcO6cCHWuTaB22WUiBHlqqqO8dulFfa/OnEREiGtUjEZR57lzzjMo7pKyFRaKtl51VeVkEJYEn8W7F7P8g+XgEqdt6eql/Jb4W+U0SudUebGhF8NWVvTSj7L6NuipH1JoVCwzZ87k4sWLXLhwgXfeeYcY+1TE8OHDOXr0KJ9++imJiYl07NixzPcaOhSefVbMRhg8/HmEhYlZiXffhebNnc9FRMC//y1mKjxdD+LcVVfB1KniGi3Nm4u669b1nJ9Fbd9zz0HnzkN87p9Ev5zNPsuYt8bAemA5oNmdraxQGPn4yMpqmq6p0ssoejFsZUUv/dD6NvgrOBJTbOQUKIxbmc/RNBtzhkZiMsKOM1a/6tl3XmTTbVXHyKzrzRxO8z/R3fwdBczdVsiY3uEMaWMqbkNiSmBJ8wKhugmN0mjYsCFDhw4Nap0DBwpDPnOm+/NxcfDee9Cwofvz4eEwZYoQEp5ypFxxBbz8smcx0aSJEBxjxkBGRsnzigKTJ8PgwTWIimpdeqckukZdPsmpmwPxQE0gRlOgMxz7/Rjbj22nV4teldRKfVJlxYZeDHRZ0Us/AvVtsFgsGA0w8hvnvYIPflu2AEZ7ztkCSnKnZe62whL9MBpEm8sTKTQqjksv9XwuKsqz0FAJCxP+GJs3Q1GR8zmTCVq08J5VFoQ/RlSUe7EB0KoV1KkzEIO3KRRJlWDp3qUsP7RciIxxbgokiNdbO95icQvpu6GlSooNvRjoUPVt8Gc2wmw2Y1MgLC4ea24mNRNux1S7kd9tCAa5hzeTd+h3otr1J7pNvxLnizLOkbFpcYm4D8FECo2KRZsiPixMOGaqTprnzondJB522TrVYbX/yat+HaqTpy8p6C0W4bSqXm+zOdqi1n/rrWP865hEdxTvPvGBz/Z9xotXvUj7eLkDSaXKiQ09GWjp2+DAmpdNw3tnYm7cLuA6ysLF3z8n79Dv1LxyJLX63+22jOXsETI2ld/ThhQaFc+xY473V1whnDg/+0w4ZNpskJws0sF748gRsdwRGQl32/90Pv8c8vMdW1m9kZzscAxt0gTuuQe2bIGNG8WxnJwG1K59rd99k+iH4t0neemgUNLb0eZ8zKbYmLZhGktuW1KBrdQ3VUps6M1AB+LbAPrrRzCcKOveOKZShUbGpsVehUZ5I4VG5ZCUBH36wD/+Ae3sf3433ijChS9YIM57Ext5eWL54667hEioWVMcv+UWIVqWLxeiI9JL8M+kJLFc89BDMGCAmNUYPFhEIp0/H7p1uzlIvZVUFkv3LmX5vuXwAZAFjEb4bAAkAl8CXYBb7ccUWDppKSObjGRwwuCKb7AOqTJiQ48GOpC4DTkF+utHMHZrhNe7pMx1BIIUGtWbRx8VfhVawsKE8+i114ptq96wWmHhQqhXz/l4zZoiR8ptt5X05XClUydRR7hLzLh27eCNN2JISPB/q69EP5zJOiOWTyyA+vd0AYfYOIWY7UjWXKQAJ2Dss2NJ2uDDWlw1oEqIDT0KDX99G1TGrczn2EWbrvpRVZFCQ6AUVt9soq5CQ0tEhFjW8EZsrHh5wlWEuMPbPZo2/ScREbVKr0SiS2w2G1eNvIr0TukQC4xEzGy00RS6EnGupeaYEXgAjp8/TmJKIh3qdai4RusU3cfZ0KvQCJSjaVJoBAMpNAQ2Sy5pa+ZV+H0lpRMd3YkWLV6u7GZIysAHv37AkVVHYDFiZqM10ANny2lG7EJp4HJxc1B6K7y66dWKaazO0bXYCDWhATBnaGRI9KMykUJDYLPkcv6rKRSmn63we0tKI4z27T/BaKy6/2fVnbPZZ3l+8/NwP3Aeh+Dwk6XvL+XHzT8GuXVVD92KjVD1behcPzT6UVlIoSFQhUZBynHq3lg9tlUWFPieGM0T2dmBZYRVURTfErw1bz6JGjX6BH4jSaXilPvEBLQFTuIQHDZEqPIjLhemA78D6t/IBlDWKTzzn2cqqOX6RbdiY9zK/JATGoEQKv0IBlJoCLRCo8Fd0yrNObdiMTBwoHD8DJRTp2DYMJgxI/A6Xn1V1HH6tOcyYvnk34HfRFLpLNmzRATvAvgc2IvwyVBnOPYhQpUvxiEsAL4FVttfGxAhzTvA/m/2V/vZDd2KDenbEDr9CAZSaAhchUZlbTeuaBo0mFX8/uTJwOpQ415s3x7Y7IaiiGsBNmxwX8ZsbkrXrj/K5ZMqTGJyonPwruaAAeiDY0nlJ4T1rIfw2dCWBUhCCI1rgZuAWHhq2lPl3XRdo1uxUd19G0KlH8FACg1BdRUaAG3bPs5LLw3DaIQlAcRJyssTcTMA0tPhjz/8r2PLFrh4Ubz/7DNRp5bw8Hp07bqGyMjmJa6VVA0UReG5357jouWi4+CtwEtAB6ApQnBYgcbAPwDtlufrgWsQO1auBa5G5E55Cg73PczB1IPl3ge9otutr9XZtyFU+hEMpNAQVGehofLKK98RFnYrr7zyDQ0aQLNm0LSpeMXEOJdVFJE+/tQpMROybZvD18JohDlzRJTRpk3F1tVGjUrGySgshDNnHHV8/70jHHl2NsyeDb17izpatWrIddetIyZGhqeuyizdu5Tv/vqu5AntY7kqOBYBSxDbYdWv2A3ALziEhuZ6BYXpG6ez+NbqmTNFt2LDX0LFQOuhHzkFZfCgCyJ6EBqFKcdJ+/n/pNDQCVOmLKNWrdE899xH5NvDixgM8NJLIogXCDEwbRr88ovjOpPJsXRiswmfi3nzHGHG69UTGWLr1xe/nz8PTzwhBAsIkWEwOMorCvz2m1hOad48nFWrviImRsZSqMr4k/vESXAsRgiOLTiWTq52f1l1zpmi22UUf9CDgQ4GeuhHlkWkia9s9CA0AC6sniuFhs745z/n88svX9OhQzQGA0ya5BAaIITB5MnQv7/jmGsUUKtVCAejEWrXhjfecAgNEO/feEOcU2czrNaSdTzwQDf27TtN+/ZXBL+jkgrDZrMx+n+jxe4TEA6g/0EICBUrQly8B2TgEBwngJmUFBrLgLcBzc502xkbI0aNKLd+6Bm/xMby5cu59NJLMZlMdO/encTExPJql8/owUAHAz30Q41rcjTN5ve1wUQvQgMgvHZDKTR0yGWX3cauXRf48ccnGDKkZFrXiAiYOhWuvlrMSLgjLAzq1IF33xVLMq40by7O1alTMs18kyYmvv/+v3z66S7i4uJLXiypUoybPY4Vv65wHEhE7DLZpymUAxwFUhEhykEIDi0J9p82xA6Wi8AxzfljcHDFwWq5M8VnsXH06FFGjRrFrFmzOHXqFG3btmX06NHl2bZS0YOBDgZ66Ic2gNqcoV6yTpUzehIaAHVueFwKDZ0SERHJoEHv0avXNuLiSsa0MJnE8kpTV4Ngx2qFWbO8hxtv0kSUUWc1wsLEbEZi4hmGDvVxyl2ia/4+9zefbv0UtH8H1yOEwxDNsRrAzYjZC/Xf0XVXkhqHwwjcCVyBiDiq0gO4HN7d9G7wOlBF8FlsJCYmMmvWLO68804aNGjAmDFj2LlzZ3m2zSt6MNDB8G3QQz9cI7UG4pwbDPQmNAAM4RUvvKTQ8I/Y2C706rWV7t03Ur/+3RgMjpmOsDCR1dUTubml15+TA/XqGfnXv67h8OHtcjYjhFAUhQnrJ5DbPVdsb1WpAwxC7DjR0gOxTBKGI47GtcC/EZlgtZFGOwADcN4aaxbHVuevrnY7U3x2EL3pppucfj906BBt2rTxULp80YuBLqtvg1764RqpNZAEc2VFj0KjMpBCI3Bq1bqSWrWupKDgHGfOzOf06Q85d+44mZnivNH+aKX6athsIj18ly6eajRSq9Y19Ot3GydPPkxEROXN+EnKh6V7lzqCd/mDVmioPhrunEY9fCXbFFu125kS0G6UgoIC3njjDSZMmOCxjMViwWJxBJLPVP/jy4ieDHQgvg2JKeKafeetjF2RT6s6RmZdb+ZwAHXN31HA3G2FjOkdzpA2Jr9FQk6BEExH02zMGRqJyQg7zliL21hRSKEhkEIjOERENOCSS17gkkteICPjCAsWfMSuXb8TH59O796n2bz5Ah9+KHakJBVn/zYSHd2OuLhexMb2sv/sgcnkJSWspEpz/MJxxq0Y5zhgAw4DdXGkjwfhDHoKsXSindFogQhjrqUO0AvhWKoVHGr6eU0IlqU7lvJUz6fo1aJXcDqkcwISG1OmTCEmJsarz8bMmTOZOnVqwA1zh56Ehurb8OC3vs1uWCwWjAYY+Y1zJKA952xctcCHuVwvzN1WyNxthWWqw7UfRgNOYrG8kEJDIIVG+VCzZmsefHAmDz7oODZgQD4vvJBHdnYaVivUqlUPozEaozFkIgFISsFms5EwKIGLTS46fCp2I0KQRwLP4HAyWIRwClV3PKlC4xjwITAREbgL4H8IJ9KGOJZUBgKfAAowFrDvelJ+Urh90+0kbShWvCGN3/9d69at4/3332fLli2Eu0bB0TB58mSnmY/MzEyauXP59hG9CY0198dg8mMvj9lsxqZAbLdBZO9bhymuLjUSbsdgKulJX94oRQVkbvmaoqwL1Ey4HVPtRk7nizLOkbFpMWZz+TrMSqEhkEKjYgkLiyQsLJLatWtXdlMklcQz7z/D2W1nQRvuIk7zU2teaiLExi5EorVrETMaHwLROFvRmvafHYBWCKHylf1YBM7LKjXg2C/H2LR/E1d2urLMfdI7fomNpKQk7rnnHt5//306duzotazZbA6asdKj0AjUtyF7/y+YG7aq9O2U1twMGt47061hs5w9Qsam8l1LlEJDIIWGRFKxnM0+y0eZH8HTgHaVrDXimBlnsXEvIhfKnzj7aExEWFCtObnJfr6GvQ7VhyMesaRSU1P2KqA7zDs4r1qIDZ+fzfPy8rjpppu4+eabGTFiBNnZ2WRnZ6OUJV+zD+hVaASKjNsghYaKXsZDIqkuqKnjLxZddBYaKrE45zoB+JWSQgPE0omrOTEiBIVqplSn0Uzga8QuFRWDKPv5/s+rxc4Un8XG6tWrOXDgAB9++CFxcXHFr+PHj5db40JNaICM2yCFhkAv4yGRVCf83n3ibteJv6iCQ7stVoO6MyXU8Vls3HzzzSiKUuLVokWLcmnYvvOhJzSgesdtkEJDoJfxkEiqE3uO7uH+hPuFA6dKIfCF/aX1sT+KiJ2hFRo24DvEsojWp/80MB/n0OYAaxGOoemUDG3uEkB06fylrN25NuC+VQV0mxtl7Ir8kBMalYFeDJsehEZhSvnNwvmKXsZDIqlOKIrCwLsHouQpQiyonEGEJk/EKYeJUxl1RiML2IEQItoNJHuAk4jlFhUbsAk4bq8bhODoZH+/FdBsTFQ2KYz+V+VG5C5vdCs2WtUxSqFRRvRi2PQgNCynD3Fh9dxKubeKXsZDIqluLN27lLMdNGpCDTPeBOhnfzV2OQdiNkKlBmKWoxegjWfZF+iMiDiqYgSGAl3tL5XBOGJ4LMWxpDIIjqUfY++Zvf50q0qhW7Hx3uBIKTTKgF4Mm16ExrkvXiK8dsNKuT/oZzwkkupGcer4VoilkWsRyyMbEEG6Btpf7kKQt9JUZEDMcgxDbGNVqQPcjhAcWvoAt+LsiBoLjKNkaPPOwG0we/PsMvVVz+hWbMRESKERKHoxbHoSGhH1LqHODY9XShv0Mh4SSXVD3X1SnDoehGDQCg6VYDiD+ooHp9GlPy1l5R8ry/nmlYNuxYa/SKEh0Ith05vQqH/H1GrtnCuRVEeW7l3K8rXLwTXQc29E4C1VcKhCo4P9nJZ8hE+Ga5SH84hQ5loKEaHJXUMwpdlfWhohhM1phOD4G5SFCk9Ne8qHnlU9QkJsSKEh0Ith06PQqM7bjSWS6sjZ7LM8OuVRsVNE6/BpA+YhHDcbIkTGevv7RPs5bXqoRZTcbZIMzAHex8nRk2XAx8DPmmNpwHv2l1Zw/IwIFhaH2KWyEIiEQysP8eNml+0qIUCVFxtSaAj0Ytik0BDoZTwkkuqIunySm1e2vFOVggJPPPdEZbci6FTpzENSaAj0Ytik0BDoZTwkkupKcfCuBKAZzllcjcDjwA+ImQxtgrUOiJDj2sfw+xG5UZpojjVHJFUzA1Ga47cittA21hyrg3AKVd+rDEBEG11jb+O1iHgfNeB4u+McTD1I+3ht8paqTZWd2dCD0Nh33v/cKMFGL4Yte88qKTTQz3hIJNWV4t0nIHaQNEVkctWyDYfQuBqH02ii/ZyWSHsdrnsW6uOc6wREqPNmiJ0tWurgLDRAxPhYjxAmI4FLEcImX2SEnfpzcLOmVzZVUmzoQWhsPWVl7Arf0suXF3oybNk7V0qhoaPxkEiqI253n7jiadeJp10q5cFJhC9IfYTQUM2YZpfK589+zoHzB8q5IRVHlRMbehEaNyzKoVWdyvv49GbYYnsMlkJDR+MhkVRHlu5dyvK9y+F7hGDQ7iBxF4LcCqyyv6w4C45/4xzaXLHX+T1QoDmehkgjv8+lMVsRDqPZmmPZwLsIh1Ot0NhnryMNh+A4CUPvGOrfB6BjqpTY0JPQ6Fw/jPcGV/xWStCnYYvtOrBS7iuFhkQiAc3yyV/AdoRgyNQUcBeC/BSw2f467XLO9ZpMe53bgcOa41uB/YidJSo2RP6TPfaXykrggv39vThmNH6y17HV/ntTIAGObToWMjtTqozY0JvQ+Om+6IACj5UVadgcSKEhkUjAZfnkUkTkz56IbaXgOQR5I4RTaAfE1ld3ZdRr4+x1tgJaas53RYiDKzTHjMCVwCX2ukEsney3v++Ls2PpFfY6urociwydnSm63Y2SmOLY6Dx/RwFztxUypnc4Q9qY2HHGP8fMnAKFcSvzOZpmY87QSExG/K5j33nho9GqjpFZ15s5nGZzamNFIA2bAyk0HGTvWVUp95VI9IJT6vhoSooFT5FBw4G73FSohjZXr8V+7XA3ZRsjwo+7cr3mveqj0QxnHw2VBPtLSzTwLBw/dZyVf6xk8GWD3dyk6qA7sWGxWDAaYOQ3eSXOzd1WyNxthW6u8p0Hvy2bU+eeczauWuDYu200iDaXN3oxbHpACg0HF3//nOydoRneWCLxBafdJ66UNQS5es16l9/9wZMzqI8oTRTmbZ8nxUawMZvN2BSoeeVICs7/Td6h34lq15/oNv0qpT1F6WfI2PI1pri61Ei4HYPJkYGnKOMcGZsWYzb7v6zjD3oxbHpACg0HalyT2B6DpeCQVEuclk8sQBEQYz+pCo0+OC9xgAgrbsE5SRoIB04zYsZD5Qr7cVfBkYOwoNqvfxsiFX0NxFZZVWjUQCRr05ZVEH4gcTg7NLj2A/gh9Qe2H9tOrxa93HwKVQPdiQ0Va/YF8g79XunbKdNWz8XcsJVbw2Y5e4SMTYvLtQ16MWx6QAoNB9oAalGX9pZiQ1ItKV4+sSB2eeQCjyCcRNcDtYE/Ebs81KUVBfgASEHMNLS2Hz+CyFFSDxGwS3XJW4rYlVIbh+BoC3yIWOoYj0NE/ADsQMyktEIIjUhEULD3gSdwxObYaK+vJ47lGdd+NBKHbTts3L72dpI2JAXwKekD3TqIyrgN+jFsekCOhwM9RGqVSCqbgycOOpZPihAG2obYxqounXS3F9YmTFMQsw9ofuJyTLtlVr22O45tsavs98rFOemaWjYRx9LJHfb6CijO7go4dspo26btR65z2WObjrFm2xqqKroVGzJugz4Mmx6Q4+GgqgiNQYMGsWDBAgA2bNhAhw4diI+P580336zchklCApvNxsSfJzqCd8UgZgJaAMdw+GhcAdyJs8OoEeHQeQ/QTXO8m/3YaEqGK7/TXpcah+OY/V6PIGY3VG4D+iMywqo+Gk2Bh+2v+pqyAxFC5DbNMbUf9yNmRlSuEGU/2P+Bh09E/+hXbMi4DZVu2PSAHA8HVUVoLFmyhFWrxA6ZlJQUhg8fzj333MPmzZtZsmQJ69evL6UGicQ7/3zjn/z4u0v8ib9wFhogwoZ3pGRY8XigHc4W0Gg/Fu9Stqa9DjVaglZw/OVSNg0Rh6MJzs6gze0vLRFAJ5zFCoilk1Yux+z9WHZ8GQdTD1IV0a3YqAykYdMXehgPpTBfF+NRVYRGWloaEydOpF078TktWbKExo0b89JLL9GmTRtefvllPvroo0pupaQqcybrDPPmzxPLFCftB8u668Rf3IU2L+OuE1+wKTamb5we/IorACk27OjBsOlFaOghboMexgMgbc28Sh+PqiI0ACZOnMiIESNISBBBA3bv3s21116LwSC87fr27cv27ds9Xm+xWMjMzHR6SSQqiqIwZsUYim4rEkZ9Pu5DkG8AdrpcfBoRqTNNWyGOCKJaP400e9nTOLPTXre70OauIcgTgZ9x9tOw2I8lutSbhPAD0YY299CPpauX8lvib1Q1pNhAH4ZNL0JDD3Eb9DAeKoXpZyt9PKqK0Fi/fj1r167ltddeKz6WmZlJy5aOcIs1atTg9GnXb3AHM2fOpGbNmsWvZs2alWubJVWLcbPHsTxxuTDmI11OqjMahxACYDnO4cp/BLYA6zTHTuHIjXJKc3ytvax2pSbTXud6+z2091RRhYYN+BL4FWexsNN+7Et7GZVlCMHzu+aYh34oKxRGPu7aef1T7cWGHgybnoSGGrehstDDeGipe+OYSh+PqiA08vPzeeyxx5g7dy5xcXHFx00mk1McmsjISHJzc91VAcDkyZPJyMgofp04caJc2y2pOuxL2sf8b+c7rNYWlwLqkkoThN9FK5xiVdAZEVejveZYvL28eo1KB3vZzppjMfY61Wu091RR22QEugC1cA5t3sJ+rAvO1rcbIt5GG80xL/04tusY2495niHUI7qNs1ER6MGw6U1oVGbcBj2Mhyvh9S6plPtWJaEBMG3aNPr06cPQoc5ZKuvUqUNKSkrx71lZWURERLheXozZbC73IHmSqoeiKLz4x4sUDLanW9X6aCQg4mMsQuziaAqMc1OJu5DgkYjdH650xllogHDS1O5qcQ1BvgXnwF+3uqm3IfAvN8cH2F9aauK1H2/teIvFLco3zlMwqbZiQw+GTY9Co1b/u7GcPVLhbdDDeOiFqiY0AJYuXUpKSgq1atUCIDc3ly+//BKA/v37F5fbuXMnTZo0cVeFROIRp9wn7pxBR1JScJQn7pxBgxHa3A+Wbl/KqJajuL7H9aUX1gHVUmzowbDpVWhUBnoYD72gh/EIhE2bNlFUVFT8+9NPP01CQgIPPfQQzZo14+eff+bqq6/mtddeY+DAytnWLqmaOOU+UYXGNTgbczNwH+4Fh42SDgOK/eV63IaIHOqa0Ftbhyo06tnvqZ2Iu9per6vgUP0z3N3Pn7apxyygLFZ4bOtjHFlT8Q+HgVDtxIYeDJsUGg70MB56QQ/jEShNmzo/SsbGxhIfH098fDxvvfUWQ4YMITY2llq1ahUH+5JISsNms3HZsMtI75MO2xBGPA74BbFbQ32oLwQ+Ai4glkZUwZGFcMbsgmNZQwEWIBxCH8AR/yIZWIjwlXgIh+BYBuxFBPaKs9cdhtip8hHwKI5cKmuBTfZyquDoDcyzv38ch//FVoQD6pUu/fjA3u7ROPxIEjX9GIoQVefh6PmjrNyyksEJ+k/SVq3Ehh4Mm4zb4EAP46EX9DAewUQrKB5//HEGDhzIwYMHufLKK4mNdc1+JZG4Z9zscST/kgznEAb3WoSg2IMQByoWRK4TgMEIQ74Ikf5dcSmrIIRGEaJeVWycsx87ZS+jio1k++9/2s/VRyR3W2a/pwWH2FDv0xKoixAcZ3GEQs/EITZOulzj2o8LOMSG2qajFAsNRgKfwthnx1aJnCnVRmzoxbClrZlHUcZ5KTR0Mh56QA/jUd60bNnSaQusRFIaZ7PPsvDgQuFUqQqNqxGxKBoidoyoxCKMbxYiKmdbhFE+hpgN0GZ9NSJmNM4BPTTH1fcNcF7CuBv4DdiHWJoZiRAXVsQMhlY732Jva1fN8fX29l5JcWI1AG4spR/anSlX2u/5G0JoqMtED8Dx88dJTEmkQz1tRfrD762v+/bto0+fPtSuXZtJkyahKErpF1UyejJsMm6DvsajstHDeEgkekNNHZ9zIkfMDGidQWMR+Udqu1zUGiEYjDjicDRFhBQvdCnbHDE7oX3cNtmPuYYVL7LXoQoNs/0ePXBkjFWpbW+bKjTUwF9nEZlftfjSDy1HELMtWn+U5qD0Vnh106voHb/EhsViYdiwYfTq1Ytt27Zx4MAB3a+/6s2wVfe4DXobj8pED+MhkeiRpXuXsvyD5WULQa4Kjvo4hzb3h2CEIHcX2twfLDiWTjzstPls32e6z5nil9hYuXIlGRkZvPnmm7Rq1YoZM2boOs+BHg1bdY7boMfxqCz0MB4SiR45kX6CB254wFloFCF8JpJdCp9FxLfQhgS3ISJ1HsFZcMwHvsI5JDjAfvtLS7a9rGsI8iP2urXRPy32Npx1qSPZ3uYinAXHG3704w9gJs5CIx0RaVTTD5ti418f/Qs945fPxu7du0lISCA6WhiJrl27cuDAAbdlLRYLFovjk8vIyAAoNddBdrb4BC1nj2AryPeneU4UpiaTvu4jTLUaUKP/XVjO/R1wXR7vkSakcnZ2doX1KxBy9v9Mzp6fiek6AHPTzuQl7/Navjz6VRHjURqFKcKJqrLHy9/xKA1fx0s9VxWWPiXVE0VR6HtjX2znbcIfQp3R2AmsQFis53E8Jn8OXEQYXjUo1mFEiG+Ap3H4QcxEiIpzOIJlnUGICoA6OHwqPkE4aIJDaGQjZhhAZGpVJ6g3IUKQ18IRsMuG2Nmi7gbvY+/LNoQ/xsfAy6X0Yx+gxla8FceMxrfAcYRAUXfYnIFVH6zix6t+ZEi/IegRv8SGa54Dg8FAWFgY6enp1K7tvPA0c+ZMpk6dWqIOX3MdpK96z5+meaToQjIpX/07KHV54uqrfZ/jC1a/AiFnjzByvlIe/aqI8SgNvYyXv+NRGr72Kysri5o1XXNuSySVz+xlszm7zT5FcIfmRAOEtWqCcwyM5kAGjvDhIHaBRCLEirrsYQb6InappCKWR5oCNezlsL/Hfk4VGn1d6qiHEAt1NfdT26T19TDYj5+yt13lDoTQACFS1H9Z135YEIngVC516fNxRORSlRpALDw17SmG/KhPsWFQ/HjMefbZZyksLOTNN98sPtasWTO2bNlSIiqg68yGzWYjLS2NunXrFmeArEgyMzNp1qwZJ06coEaNGqVfUAUIxT6B7Fd5oSgKWVlZNG7cGKOxaqRFyszMpGbNmmRkZITU34KkJEfPHqXNpW1QEhSx+yKQgFullc0DluK8LKENuKX10bgXiHK53peAW76U3URJfxS1Dq2Phurk6mOfDQYDB8YdoH18e4JJMP4P/ZrZqFOnDvv2OU/5esp14C7HgRrKuDKpUaNGyH1phWKfQParPJAzGhI9oigKVwy7QggNTxN0nvSxu+OeykbhObS5L86g7gSMp/t5K+sutLmr0PAWdt1DnxUUpm+czuJb9Zczxa/Hmz59+rB58+bi35OSkrBYLNSpUyfoDZNIJBJJ9eCJWU9wNu5suecTAdzvUgnGrhN/cd2l4qvQKAW97kzxS2xcddVVZGZm8sknnwAwY8YMBgwYQFhYWLk0TiKRSCShzZ6je/i/N/9P7NzQTpznAx/aX1of7X3Af3BOMW9FiIX3EL4PKkmI3R+urlErEH4ZCmLHyXz7+wv2c1p+ttehDdKZYb/XIvu9VbbY2+ZrP/5EOJuuRziwnkWEQv/Wx34sA97GaSeM7YyNEaNGoDf8Ehsmk4n58+czbtw44uPjWb58ObNnzy6vtgUVs9nMlClTQip9dSj2CWS/JJLqgs1mY+DdA7EZbGInhvaBPBXhYHkK54BYiYiyWoOegwjlrV6j8hfCoXO39qaIXCe5QAvN8Rb2Y3tx3tq6217HYc0xtU1H7fdW2Yf//dBGIK1nb4M//biIiJSqcgwOrjjIj5t/RE/45SCqcvbsWbZv305CQgJ169Yt/QKJRCIJAOkgGtq8+PGLvDr2VTE70BURVlxdlVdwzF4k4PB/SEPsKumKyH2ishORe+QKxOwACGP+OyL0tzZafiJiViEJsXQCYvmiJWKbqjbydxJCaGgjg1oR211r4Bzy/DQib0tfH/vxq718GELsHEJEFO3uRz9OIRxq1WcYC7AJBg0bxMpnVhIMgvF/GJDYkEgkkopAio3Q5ejZo/T5tA/pR9Ir3l/C1UcDguIv4RfufDQ2ULaoqRqMBiP7x+4Pys6UYPwfVo39bxKJRCIJGRRFYeIvE0nPTxdG9n6E0V2McxTN8sCdM2gwQpv7gydn0LKGNtdgU2xM3zi9bJUEESk2JLrj4sWL/PHHH6Snp1d2UyQSSTmwdO9Slh9YDgcQjpBawfEOYmlB6zdhQywxuCYzy0DUYXU5fhQRHVRLLrAaEVRLKzSS7S+t4PjYXjbXpY4z9rq1WHH0Q0uqvc2u/dhj76NWaGj7oRUcCzz0Yx9Q4HJc7YeGpTuWsv3YdvRAtRAbqamptGzZkmPHjlV2U4LG8uXLufTSSzGZTHTv3p3ExMTKblJQ+Oqrr2jRogWjR4+madOmfPXVV6VfVMUYNGiQ7hMYSiTlxdnss4xfOV74K3yJmEkAR1bVXMQuiz81F+0GPkPsGtEa70X2On7VHDtqP/4hzs6b7yL8Hmw4hMZ5RGjyj+3vVcFhs5d9V3N9jr3ORTgLDtd+YL9+vr3NWqfOP+19y8URsMtdP65G+HAcA/7PpR//A74GVmmOufbDjvKTwu0P3o4eCHmxkZqayk033RRSQuPo0aOMGjWKWbNmcerUKdq2bcvo0aMru1llJiMjg7Fjx7Jx40b27t3L+++/z6RJkyq7WUFlyZIlrFq1qvSCEkkIoqaOT89Pd4QH18aZ0/pKrMSxpBKn+akNlKVeq3UjiEZYtmgcYStPIqKHAlyOcwjycCDC5djl9vd5OJZUTC51q7jrh8Glzdj7ovXX1PbVXT8Gat5vLqWsu37YyxzbdIxN+zdR2YS8g+iAAQMYPnw4//znP0lKSqJFixaV3aQy88MPP3D69GkeffRRANavX8/QoUPJzXWd86tanDhxgo0bN3LfffcBsGfPHi6//HKysrIquWXBIS0tjY4dO1KrVi2ee+45Hnroocpuku6RDqKhxZI9Sxj5zUjHgUwgBseuC4BC4G/EDIB2uSMbh1FVsSKe+l3/NHIQ4sCMw0ejHnAzEI+zYFFFiDY0uYJYBlkOpOBY7rDY7+masNpTPyyIHSxaH41bEblOfO3HZsSMh+o0akNsg63hYz8y4d7L72XJbUsIFLkbxQeSkpJo2bIlBoMhZMSGK/PmzWPu3Lns3r279MJVhMLCQh599FGsVisLFy6s7OYEhVGjRhEZGUleXh7XXHONFBs+IMVG6HA2+ywd3+8oZjV8IRhRPctaRzCiegajjjLuUjEajPx696/0a9svgJvL3Sg+oc1SG4oUFBTwxhtv8Pjjj1d2U4LG7t27adiwIT/99BP//e9/K7s5QWH9+vWsXbuW1157rbKbIpFUOE7LJ75S1l0qwRArZd2lEqQQ5GXdpWL7xca9j9wb4M2DQ8iLjVBnypQpxMTEhITPhkrXrl1ZvXo1bdq0CYl+5efn89hjjzF37lzi4uJKv0AiCTGW7l3K8kPLhWPkIuA7nB099wIf4Ox4WQj8hlgWOI1DcBy1l92rKWuz17kIcQ9VaFgRIcJ3ujRoLcKhUqt90u3H1rqU3WmvQw2JfhLf+qEKjdP2Pvxm75OKL/1QOY0ILKaGNlcFhy/9sM+KHNtxjLU7XTtXcUixUYVZt24d77//PkuXLiU8PLz0C6oIBoOBXr168emnn7Js2TIuXrxY2U0qE9OmTaNPnz4MHTq0spsikVQ4R84cEbtPQPhiHAV2IPwOVDYjDKp2l+YZRITMi8ANOGY41LLa3ChZ9jqPIvwb1BmNrgifC+1uFTXF+3F7/SqJ9mObcBYQv9rr6IpjhuPXUvqxGceMxg32PiTilMOE7aX0Q5uLZQ9C5BhxzHD84kM/fsGx/AKM/lflPbz5lWJeoh+SkpK45557eP/99+nYsWNlNycobNiwgR9++IHXX38dgIiICAwGA0Zj1dbES5cuJSUlhVq1agGQm5vLl19+ydatW5kzZ07lNk4iKUdsNhvjlo9zLJ+0BXohnBu1S//XI4zvFZpjTQDVxaAPYglCna1orTmHva5rEYZ2i/3akQgHywJAG0TTCAwFTiAEhEpXhBhohvNj+CBErpMrEE6gi+33aIgIa+7aj82ILathiKWTRjhicGjDq6t97eWmH5mI0OQqfREOsu2BzvZj6xE7XVp66EcSQmyofh514dihY+w9s5cujbpQ0YS8g6hKKDmI5uXl0bt3by6//HLefPPN4uMxMTEYDAYvV+qbM2fO0L59e15//XUGDx7Miy++yPnz51m5Mjjx/SuLkydPUlRUVPz7008/TUJCAg899BDx8fGV2DL9Ix1EqzYldp+UFW9+GBWVJt6bH0awfDR8wZvTqJdz93W5j8W3LvbrVtJBtJqyevVqDhw4wIcffkhcXFzx6/jx45XdtDLRqFEjvv76a9555x06depEbm5uSOxEadq0KS1atCh+xcbGEh8fL4WGJKQpDt4VTDw5jVaU0ADPTqMVKTTAs9NoKTtXPtv3GQdTD5Y8Uc5Um5kNiURS9ZAzG1UTRVEY8cUI4RQKYhnBgiPDKogYEKcQcS8iNcdzEMsIjVwqPYNYZojBIS5qAl0QPhRaoaFGA9UG2iq019EE53gYafafdTTHrPa2NcI5Hoa2H1pxcQXC0TMDh9DwpR8q+Yi4Hk1wjp3hSz9UcdHdfn4XDqHhoR+3t7idrx70PTqznNmQSCQSie54+dOXHUIjD3gfmINz7o4tiJDermG+5yFCdO/XHN9vPzbPXkY7w7EWYfi1uU7m2O+Zp6ljGSKc98+aY2nAe/ZXmub4z/ayyzTHXPuhznBY7G3Qzmj42g+VRfbPQuss6ms/rkYIjV32V3ccMxoe+vH1Y1/z4+YfqUik2JBIJFWWC4WF3HvgAAN27WJbZmaltkVRFP7v9GkStm9n6t692Gy20i8qRw7n5NBm7FiaDhzIXxWY1HDP0T289q5LPBmDAQYMgBvfhXrXVlhbPFKjM3R7G7pPhMjIUouXK2FRMHoSvP02NOtaavGgoMATzz3h9tTSc+dI2L6dl5OSsAbxb1guo0gkEt3ibfrWYrNx1c6dbLWHs48PD+fX9u1pV7duZTSVT86c4eFDh+DECZgwgRETJ7LsuecqpS3nLBZa3noreWvWwNSpdLz+erb16kVUWFjpF5cBRVEY8NYA1qWtc15+OHcj3P4sGI2gWGH/y5D6e8Uvo5wF2raC3nPBaG/g2S2weXLJZZTTiB0n5bqMYoQus6BOH3GuKAd2PgG5dv87b/1ojG/LKB76YSgwcODfB2gf79iq821KCiP226diNm+m77Fj/PF//yeXUSQSSfXl/VOnioUGQOry5Vx1662V0pbTFgvjDx8uFhrExLCiXTuS8vJKv7gcuGX69GKhQb9+HMjNZUoFJKNcuncp67JchEZha4fQADCEQZt/QZhZGGXXiYUYShpo7Me0QqM+8A/gSko6jdbH2UCDaFMzI7Sf6BAaAA0ToP0A57JhiC2wruGLalJSaNxvb8M/cHYaLa0fAA1udAgNAGMU7O8u/Fnw1g+chca1wC32l9Zp1Es/lHoK0zdOLz6UXljII3/9JX7ZvBmmTGFrYiK7gpSbSooNiURS5bhYWMh07e6rH3+E//yH87Vq8WclLKe8ceIEOcePFwsN3nyTgtq1eTEpqfSLg8zPBw+yZfbsYqGh8t6pU6QWFJTbffcc3cMjkx8peaLHIw6hoWKuB00CEIaedp34Gto8/nKo0aHk8dq3gs3HsAGedp34G9rcEA4tHnL8brPBO+/Awu/A2K30dnjadeJHaHPtzpQ5p0+TWlhYLDS47DJ46SU+PHOm9Lb4gBQbEomkyrHo3DnS1dgldqHBsGHwz38yIznZ+8VB5kJhIXO2bnUSGtQRc/JfpqRwxuJvUo+y8dSrr5YQGgB5Nhv/PXWqXO5ps9kYNnoYeT/mOQzcPmBLW6jb1/1FTW4FxW7gjwJfIqb8VazAKvvLinMIcjWbq4pir6M2YmlGFRxpwFf2tgA0vb1kO9LS4LnZcKqDcKT80+X8PnsdaTiExin7vY7imIXA3iYzzqHNXfuhEn41RDYQ71Wh8f338PTT0GSUCEZW3EaXfqhCIw64gAj4pZJtPxaHs+DQ9sOOzWJj1JRR5Fmt/PfkSWeh8fLLEB6ONUieFlJsSCSSKoXqiAmUEBoYjXyfmsq5cnyCd+Wjv/4i/5//LCE0AIoUJWhPhr6QfOECh7t2LSE0VOafORM046Fl3OxxJP+SDNfgMHA/Ae2HeL5ox2E4Y/cXWAscwDms+ClENM7NCAGgzmi0AI4A6zRlM+33PQsk4Jjh+BWxA+QnILY11HRxwExLEyIxJwc63S7Cgq/AeafIT/Y6fsUxo5Fgv9d6+71V1trb1gLHDMefmn5oxVS9m8RPV6ExZAi06gbnmzjKbtX0QxUa1yDCm++xv1TU37MoOR777XWp/AVb5m7h5c0/c37jxhJCI5hIsSGRSKoUf2Rmsj83163QAPHwuOTcuQprz4zHHnMrNFQ+PnOGivLD/yIpCUufPh7Pn8nPZ8GWLR7PB8KpjFPMXzhf+C1cg2MKPywcBlzn/iL1CTrTblD7IeJGaEN3N0KEA68FrMGxdKKWTdCUjQN6Aq0Qzprqksoe+3VXAPVvcG6DVmi8+SZ0vxq6x4t+aC3jFfY69uBYOrnCfq+e9nurqG3rh2NJZY29Dx0QjpoAUc2gdTf3QkPlskGO911xbKlVl06uQbT1EnvdKh3sx1zHQ90yrNVbl4rX3PXry1VogBQbEomkivFlSopHoaGy8OxZD1cHlzX79pFx8qRHoQFw3GJhS1qa23PB5mdvRsJu2GbMnh20+ymKwhMrn6Dw7kKRFwQcPgPd+kGMmyzH2qn6hyaAKVbsKHkEYcBVwoHLETEmGuPw0WhlL6tN72EEhiOEQDQOH44w+zU9DFBfs+XWVWg0awYGI4y71tEPlR72OtRcJ03t97jffk/tn562H6oPR2N7Hy7H4ahZ/1rvQgOgqcZptTEiV0ouzj4a1wOjEEs6KrXtx1zHI9dehzY/SzTwQC1ypr9VrkIDpNiQSCRVCEVRWPjZZ16FBsDunBz+roCdIO99951XoQFAWhrP2ZMLliepBQWs9RRPQ2PYTnfuTEGQ4icUp4535Wrg9itLHnf1CTBHQd3+7isvawhyrdPon12EUyq4Fxoq9V12pZQ1BLknp9E6l3sXGgCRDSG2rXhfSgjyUvHmNPpXc+jbt1yFBkixIZFIqhCrk5K4MGWKV6Gh8vGOHeXenhOXXVaq0GDCBLb88EO5L6Usv3DByf+wGJcn6PwBA9hw8WKZ73c68zTjvhnnfFBBxJpQTNAhwfmcG+dDAOpe5VyuEDhESaGRbT+nxYqzz4RKDkIoqIKj/eXiuDehARDXFiLiRT9S7G3QCg2LvW5XMqHEh19ob7Or4DjdGD5a4V1oqNS4XEQB1QoNG/bP2KVsHs6RRsExHjacBcfPmn4UNSh3oQEVmGLeZrNx+vRp4uLiqnRmUomkqqIoCllZWTRu3BijFyOtZ1554w2fhAabN/P+t98y/Y8/yq0tJ/Py2OktSJbGsBVMm0Zibi4dY2I8ly8jKy5cKHnQw1T9dxcucIM3kVQKiqLQd1BfLm6/CE/giAWxEWHM7u4O18Q6LvAkNABq9QGjGWwWYRxf1dxIFRpHEDMM9YCxOPKHLEXsCLkZsdwBImjWh4glgvEIkdAjoXShoVK3Hyz8Hn6z/z4ah9B4F7Ec8QiOGBo7geWIpZP71Q8I+AAhWEYCre0/ZwIHW8MmH4QGwK9W4Zh6BY4ZjR+AHTjPcmQgwpqD+/HoiVjyuRohgn61vx6LhFH/9Co0sk6ehEbuAob4R4WJjdOnT9PM0+BKJJIK48SJEzRtWt4pKcuHY+CT0GDKFC4mJJBeWEjtcnpi+9FbCHA3hu3HCxfKTWxYbDbWuLbHi0/Ad6mp/Ld164Af/Ob/Pp9Tm+3baLU7e9VZhlaaWQ1vQgMgPAJqdYO0rc7bWQfjWDrJ0vxUcIiNDJf7ghADNvtPKxDVFIpifRMaADG94LfvxfsoHEsnRS51u/Y5Q3NMcWkz9r4MBo6c8U1oLFoECxdCfDz0T3Ucd9dnC46tsu7GQ9u2fjh2/aT0AbOXv8nERPZs2QJenI59pcLERlyccBQ6ceKEzN4okVQCmZmZNGvWrPh/sapxOCWF07fd5pPQUAMSrU1P5/b69T2XLwOrPDl9eniC/jEtjaebNy+Xtmy6eJFsq2YevxTnw2SLhYO5uXQIQPyczT7Ls78+Cw/bD2g/3oGIHQ4JduNUmtBQqd0X9mwVsxfRCKPcSXO+m/14XZwX/+9HbJFtpzmmzjBE218xvX0XGrm58NoyiDBB7yIxo6ASg5jRyMXZkfUKxIyLZqcqRsSMyAWEU6ZKDzN0Hu6b0Pj4Y3j4YWh3DvJWOM7dBiS51Fsf7+PR0qUfjyHifrT0EAMFIDERJk0iZuxY7231kQoTG6qCrlGjhhQbEkklUlWXMX8rKvJdaNgN26pyEhtFNpt7Z0wvU/WbMjLIKioizhT8r92ftMKntF0Odlanp/stNhRF4fEfHic9Px3c6aYIoGcDiG3uu9AASGvo3RnUiLOgUKlJyXDe4CwGlp/2XWg88wwcOwZPdoLY3SXLuFtNCAM6ujkeb39pMXeEG27y3AZwFhr33w8pG+GARmxE4yzEVDyNh7uyjYCHgG693bfBLjRo0YLOI0d6b6+PVM2FW4lEUu0osUygxYNhW5WWVi6OmX9mZZFhdfEILMUnoEhR2JiRQXnws/rZ+Cg0ANYEsB3X4+4TLXX6+ic0EhPh+ZnQJj6wXSfesJpg/wn/hMbrr0MXL0/8ZaHVFd7PuwoNgNo9RT6ZYBPVDGo1LHlcIzR47TVM5uAMiF9iY/78+TRr1ozo6GiuueYa/v7776A0QiKRSLyhKArrPO2g8GLYTlgs/FUOW2BXuwofH50Pfy6HVO8pBQXszsnxS2gArJ4zh0w/Ppuz2Wd57M3HxE4GrV+ABXEs0f57eiP/hIZq2Pr1dt7poeCIvKnVi2mIaJjaaJwgHDU34LwrJKUFzJrtn9Do0AFqa574kxBLDtqQ4Fb7vXa61HXa3jatjtP2o1ZPz+1wJzRAxCEJayva4JpqJ5HSx8NTP2r3ogQuQoPoaM/t9ROfxcbRo0d55ZVXWL58OQcPHqRVq1Y89NBDQWuIRCKReOJgbi5n3YUg9+EJen05GPh12jp93eUArDntaiGD0JaLF/0WGixaROH//R+rjxzx6R6KovDYd4+RszBHOBdqjexOxLEvEUb4ta/8FxqvvQYNejuHID+FI6eINqXLWmAL8KPmWCZiR8h6xLZZldi+/gsNEKHNTfbl/mUIofC75rpD9nstx9lR80d729z1Y1tdiGnhvh2ehIZKTk/RhmWaYzbEZ+5tPLThVFz74So2ylFogB9iY+fOnSQkJNCzZ0+aN2/Oww8/zBEf/1AlEomkLLiNC+HjVL3HGZEAybVa2axmlvVDaJCby/6xY9l3srR0oP7xc1qa30JDNWz7fXQWXrp3Kd8d/k5EyKyFs8NhC/uxLkB2U+jYyX+hER0NPXtAe02ZeITTZROcfR86ALFAZ82xGISfhnqNSh/3OWIAz0IDRDTRWt3F+26IkORah0y1Ta1wpIvH3qZY3Pfj+h64pTShAdC5p2iDNhmskdLHQ2vhnfqh6R+Uu9AAPxxEO3bsyLp169i1axctW7Zkzpw53HDDDR7LWywWLJpsh5mVkPZZIikLycnJpKamll5QB8THx9O8nHY6+MPFixc5dOgQbdu2pXbt2qVf4CMlxIYfPgFr/viDovbtMXmLieEHv2VkUKgofgsN1bD9kZPjZCfLyv9efz0gocH997M+PZ0pLVp4veRs9lnGrxwvfnGXFb4h8C/7+5TmgQkNgNp1oG8LyD0mfo9E7P5wpTOU+ADVUOJajJEQ3x63eBMaKrV6QOpGGIB4aakJjCt5CQk452wBRz/aullC8UVoADTsDBNMYChyPl7aeGjR9iO2tViegQoRGuCn2Lj99tvp0UOos5YtW/KHl4A5M2fOZOrUqWVvoURSCSQnJ9OhfTty8/Iruyk+ER0VSeLBQ5UqOL766iseeeQRmjVrxt9//82CBQu444472LdvH6NGjeLIkSOMHj2a1157ze8dMb9lZoLqqOan8+HFSZNY2asXw7p181zOD9ZdvBiw0OD11/kT+EdQWgL7zpwh/ZNPAhIaAJszM8mzWonyIMScdp/4wlWDAhMaKqndIfqYb/cqjZpdwOjGxPkiNMD5yT8YuNbnq9AA+OlnyGkB9YO0mqC2xQehcTH/Iu634fiHz2Jj69atfP/992zZsoX27dvz2muvMWTIELZu3er2i2Py5MlMmDCh+Hd1j79EUhVITU0lNy+fxSOi6FBP35u2ElNsjPwmj9TU1EoTGxkZGYwdO5aNGzfStWtXFixYwKRJkxg+fDjDhg1j4MCBfP755zz55JMsWLCAUaNG+Vd/UZEQG/7ucrB/kR4OYmyRNceOBSw06NCBX4K4rPPe118HLDQAChSF3zIyGOAhmmjx7hMbJRfdVX+A4uNGqONhqQB8e4KO6QG/fFsy86p6PwOOgF7a4+7K1nLTFl+FBkBEEyiqCSbNDiLF/nJ3P9dj2rLmBhClMdj+CA016eCT1yFCqXq4X4nx8NK2Wj18ntHYuHsjtPTyOfmIz2Ljs88+4+677+ayyy4DYPr06cydO5fdu3fTvXv3EuXNZjPmIG2ZkUgqiw71jPRsVA7bzkKMzMxM3n77bbp27QpAz549uXDhAitXriQjI4M333yT6OhoZsyYwRNPPOG32AACFhq89hqbcnOZ4Lm0z2QVFrJ99OiAhQbAobw8TlssNA7C92Ny7drQpYv3QqUYtg0exEbx8slaYBMwFFADSeYA8+zvH0f4LWin5l3xdaq+dzf4twHWKyJIlaqdk4GFCN+Hh3AIjmXAXuBOHGnWU4H5wH+7O9ftj9AoLIRXXoGIpnCVXWwUIkKQZyECdql+JIkIZ8wuOJY1FGABwjn0AaCPpi2BCI1hw+Cqa2DvWt/HA2Arwmn1ShxZYIuMcDIKXvBt6eTMb0dY3Xi193b6gM+PbDabjfPnzxf/npWVRW5uLlbXveYSiaTa0axZM+677z4ACgsLeeuttxgxYgS7d+8mISGBaPuXWdeuXTlw4IDHeiwWC5mZmU4vALZuDVhoEB3NhosXsQUh3sYHa9ZAVlbAQkMlWLMbB1u39l7AB8Pmri1OyyfJ9oMnNAUyEUY3C8duDE/LDv74BFzIhCZ2D8+vNMfPIcKFn8J5G2yy/XftbpULgDEaLm3rOBaI0PjjD2jS07Gt1ILIdZJvv4eK2qZkzTG1TUX2tteyL+EFKjT++U+o1QmMEb6PBzjCv2vbdqEVvPCCb+Nx4gTs2MHEKRO9t9UHfJ7ZuPLKK3nwwQfp2bMnDRo0YP78+TRs2LD4SUYikUh2797NddddR0REBImJiUybNo2WLR2u8gaDgbCwMNLT0906kHr09ZoxAxISAnY+TC8qYk92Nt3LuJzy/fr1ZRYaIBxe723QoExtOZ6fT1K+F58iHw3bH5mZZFos1NDMtDz5nydZ/tdykRfkFsTTu/arvhFwh+Y9uBcb/giNEyfE8tSAFrDipDCcGxDJw9QVkQY4PyLfjUiYo10xaQM80gVUP5RAhcbUqUL4vLhIBBuLRfzMwnlnypX2c9odIUbEjMY5e9tq9Sib0DAagQio0Qlu2enbeADciHAYVbt8EtgZ6994JLQmeWOy53I+4vPMxm233cZzzz3H22+/zUMPPcTFixf55ptvCC/ntLQSiaTq0LVrV1avXk2bNm0YPXo0JpOpxHJqZGQkubm5bq+fPHkyGRkZxa8TJ+yPb717B77LwU4wZhMyrrmmzEIjWG3xmibeD8NWuGIF81Y4wmGfyTrDvPnzRPjwk0BtoD/CoGrphCYUthFqujx4BiI0YmJg4ACYiCMd+gbEY3EfSobkbojY/aH9EzMCvbqL92URGv36QfPmUFRH5GyxILK39sDZcprtbXDVjs3tbY5tCF+tKaPQUPvW3cfxsBNrL1sbMZaLgLgY/8bj5p4i024Z8VlsGAwGXnrpJY4fP05BQQE7duwo3pkikUgkIL4nevXqxaeffsqyZcuoU6cOKSkpTmWysrKIiIhwe73ZbC7On+SUR+nZZ8u2ywFYX0YDn1FQwF5vuUT8MGx/ZWay/8yZMrXHo2AJ4Al6m32Lt6IojFkxhqLbikSeElVwlEZcGzBpPptAhcabb0KTBMAgZjS0gsMfanYvu9BQGdsNzuMQHP6y99LgCA0AQ3ffxsMVVWg0NMKEf/k3HtGVEK5cIpFI3LFhwwYmTZpU/HtERAQGg4EOHTqwefPm4uNJSUlYLBbqeNj94JEyCg2AjRkZWMvgt/FbVhYePdQCMGxzlpeSY6QU3IqnAKfqT/YUMSCccp+0RvgeaAVHMvAnwhdBpQjI0jx4lkVo1KkD4TUh5lJxPh4xe6EVHNmIKJiuu3GPIKJnGmMgrElwhAZAox7Q1v4ZqILDZr+X607UdHvb1JDgG4DdmcERGgDtOsCX5tLH408cfhqq0FCAy9tCXF3PbXA3HkFCig2JRFJm2rZtywcffMAHH3zAiRMneP7557nxxhsZMmQImZmZfPLJJwDMmDGDAQMGEBakAFv+GLaLSUl87SU2UGms8xT2PMAn6NONAo9dkJSXxzFXf40y+AT8mZPDgfNJjuBdmxAGPhzHDMcJxI6QFZQMjx3ZXbwvq9BQqdUdziCcRM8ifA5UwbHa/vpWU1c2QggsB9K7wrOTgyM0AKJ6iB0vLXHMcOyz32sxzjlTvtW0b4O9zZf1Do7QACG6e7cvfTxW2M+dwJFN1wQY3ORDUSlHoQFSbEgkkiDQqFEjvv76a9555x06depEbm4uCxcuxGQyMX/+fMaNG0d8fDzLly9n9uzZwblpAIZt2a+/Bnw7tzMJZZiq31UGB9ES6e3L6HxYpCjcv/I1R/CuJojtpa0QTpH1EYbViDBa2qY3DIOuXYMnNEBkOq2BCK8dB9yEY0lFTUam9d8wA/Xs7dsRFjyhAdC4KTSoL/wv7kcIjp/s96qHs7+I2qYke1uHNYaRD3puA/guNEBs/44yeB+PBvZjRnuZ+ogxbA24CVMBlLvQAD92o0gkEok3brjhBvbv31/i+PDhwzl69Cjbt28nISGBunW9TOP6SoCGLdUeJ8hfLhQWsjM72/lgGX0CjuXn83deHpdGRfndnrVa4VPmXQ6CHUbNElMH4CUcj6MjEYbrPPAgoPWR7dxRfAbBEhogfC5iw+Ap+8KVEeHDAcKIX2N/qYQjwrIuBk6eCZ7QAJHk7v6WEGsP/XA/YragMeJz0a7wXY8Inf4LQhzd1Buv+Cs0pkyBoVd7H4/m9mNaoWEGbguHHm4C5VeA0AA5syGReKWssRmstrLHdghGHZVNw4YNGTp0aKUKDd58k82KgsVm81zeA+vS053COwTL+bDEDIUPKIriWNIJktAAnNOqQ8kdF9oZDq2TYmb74AoNAFM0RLcTbdC2Q3Ua/QVnp1ELsASw1ISJE4MrNN55B7bkOI41RQiOFPWemvIbcAiNqxEzNJ4IRGhcdhmMeRpiYj2Ph+pbohUaIMK3h0U611tBQgOk2JBIvNLvo1ze+N1/F/Qsi8KgxTmET8ui2VtZ/HnK/+B3f56y0vTNLMKnZTFocQ7ZBVVfdJSZMk7V59ls/J6R4fkaD6zWioJg7XIA1gQgNnZnZ3O+sDC4QgNEBNBwL8nztIJDdRo9CXy2N7hCA0Tumd0eopG67lKx4HjKf6Rb8IXG99/D5QNwipOuCg7tLhXVR0MVGhjdh0yHwIXGyy9DhFnU62k8VB8NrdCAkinlK1BogBQbEolXimzw9BqL32Jh2kYLa/62ogCnsxRu+9J9XAlvjPgil7PZCgqw5m8r0zYEsu8uhAiST4C/Bl5RFNakpYlfgig01LYU+TnTsio9PfhCQ2VjJ2GstH/uW4D/IJwiVQNXExESfGk0mEzBFxoTJkCi5n/mLPA2Ijw5OAuOmQhHyPuBrpd7rjdQofH00zDoZoi6VHw27wEZOATHCXsbnIQGsL0dhNcoWXdZhIa6K+tEH/fjMd/+XhUa+xBjtwXnmSt/xiPRAnM9n/YVKTYkEh84dtE/g6Atb1PgZKbi13KI1aZwOkvBqrkkyc82hBSHDgVtqv7HCxc8XOjh1rm5HLdYgi40AC4WFfFHVpZf7VmwcGH5CI3Nm+F0BhxF5NpQ2YfYcXHQ/rsZkQcEoHVrmD07+EIjJwfGPw0mu7E+BlxE7ApR/w1cU7k3NZRcClIpi9BQk9zF9hGfTSqO8OhNXa5V22QD6rrxDwqG0ADoeZn78cD+Xp3RSESMXXItiLOHb/d3PH7eIcRVGZFiQyLxghGIi4B+zfzbqjmkjQmbAkaDeA1sHUaY0fe06mFGAze2Ciu+3qaIOqstL70UtKn63Tk5nPAW5tuF7y9cKBehAYDNxjtffOFzWy7k5nLw3/8uH6ExZQrE14FbjGIniMoQhBG9zv77SUDd1HPjjeUjNN58Ey65xCEeegBXIBKuGXEsnWj5qw1EuKk/GEIDoHEC3IyYvWhnP+YabExdUjECg13ERrCEBkD9+nCLPRaJdjywv1d9OK5HjN39dhUUyHjEFpUUdgFQjb+9JJLSGdTaxMwBZprW8E+XP9hNfDn8eLiIlrWMvHS1/1H4vr4zmmkbLCRdtDGkjam4zmpJ8+ZBnar/9tQpxrdq5dOtl588WW5Cg3fe4fvERHj0UZ/aMn3JEnjwwfIRGpddBpNfgP0TIWOv43xj+wtcfAIMcE1/z/WWRWioIeHrXgYp68ST+gB7Wa2PxmjE7MIGwOxmCSVYQgOgZmfoUwOKMsXvrj4a6mezGHi4NtRv77g2mEJDpWUCbP7b2UcD+/0XIZZ4mgKDgNb9Ax+PWwdC8jaxFFMG5MyGROKFadeZ6drA/wBUBoOBh7pH8OUd0cy+IZLYCN9nNVRiIwzMviGSL++I5qHuIiJntWXatKA+Qb/+7LM+3fZCQQG/Pf54uQkNvv+e/Ftu4YiHXDGu/JmTU35CQzVsdT0ICFfnw3odIcKDQ2kwhAaIthg0xlYrNFRjCsLYD3QRG8EUGgCGMKhrr6OEMyjOTqNJVziuKw+hAZBxaUlnUHdOo4ZwyGkU+HjU9BKi3w+k2JBIJPrHWyyKAAzbiV9/JcWHpZSpn38Of/9dbkJDNWzf2HOTeCO3sJA9vbxEgITgGLb4K4WD6AEca/Wq0AhDBLcKB+pd677eYAkNAFMsFNq3j6pC4xTQC9BWG9kIGmhmqoItNFTir3QIjRaIMOZa6tjb1u0a8Xt5CY3ERHjpLagX7xgPlXDEsTDEmOX3gqcnB2c8yoBcRpGUmeTkZFJ9+LLUA/Hx8TRv7po6UlJlKYNhW56WxujGjT2XB5bOn1/uQgPgq5QUJpXyd7kmI4Msq5ddUcEybFFN4FhH+PKAyE1yC8Jo1QNOI3aE2IzQ/+qS9QZTaKgUXA1n/4BViFmD+oj8I+cQMwkAtQc4ypeX0ABYeRT+jIUW2cJp9UNEhlr14f9/wIVaMK1b+QoN1Vm6U0f48ishDtVdtrsRodSNiOWv1QWVLjRAig1JGUlOTqZD+3bk5vnucFeZREdFknjwkBQcoUAZDdvS8+e9io3tSUlcuOeechcaAH9mZbE3O5susR5iSwAfe8sSG2zD1nMALDoAuTim6u8DPkIEs2rTDczxzteUh9AA6NMHnjBDhkWIi6OIrbA1NWWaDhQ/y1NoLFoEH38C918F0RuF0IjG2YrWBLpfDz+tKn+h8dprcP6MEBtxmjLq+7rAPdHwv4uVLjRAig1JGUlNTSU3L5/FI6LoUE/fq3KJKTZGfpNHamqqFBtVnSAYtvUXL3IwJ4f2HtLGf37+fIUIDZWPzpzh7TZt3F5+xmJhhactu+XxBN3perj3/+Ari8i6qvoEPIpYzuhzs3P58hIaubnw739Dk/YwfLfwi2gCdMdhVGt2gegmFSA07NuNb+4NOzeKGQ0TzoGzbgIKGsHsChAa0dHQohW82gkKNWkCWgNP29t1rgO8/nylCw2QYkMSJDrUM9KzUZAyeUok3giiYfvvqVPMaeu68C78IxYWFZU4Xkw5GLZPz51jasuW1DSV/Fqee/q0+/T25TVVf+QUHOwADXc5R6IMB2LrQ7zGAbI8hYa6C2j605CxWxw34DKrcVfFCQ3VObdmN8R6hQthnWH2+xUjNFRaj4BEl5xEsYDNANf/QxdCA6SDqEQiqUoE2bAtOHvWbcyNT8+fFyHB3VFOhu1iURFPfv11ieOpBQW8ffJkyQvK2ycgPBzuNzk/uQM0v1fszICKERqvvw7dr4H4q0qWi2kFNftWrNAAuGSk+/Kf5VSs0ACodw1Etyh5XZ0roaGXmTl/xqPA8ylfkWJDUmEoisJvyUXM2GThxXX5vLPFwslMW+kXasgvUli6t5B//5LPv3/JZ+neQvKLZM6QakE5GLY8m40n9u1zOnbKYmHy33+7r7ecn6AXPvwwO0+fdjr8QlJSScfQinA+fPnf0PYBEbXzA4SvRFx7aDRMlK0ooaEuZdV7DDZqEokZwiB+XMULDRDBxtTdOKcRYcL/6ARtu1Ss0ADxObT+J3yBeBUCxjhoP95zvf6Mx9EieNPzaV+RyyiSCuGHvwoZ9lleieP/WmWhaQ0Dvz0cQ/Oanv9Bi2wKU9ZbmPGre4k9pnc4/x0ciclLlM4z2f4JG4mOOHUKXnihXAzb9+PGccX117Px7bc5U1DA7fv3k+Fu10cFTdXfe/Ikq+vUoVFEBG+dPMkHro6hFSE0VMPW/F4IPwWnV8HpFnDvv8FgrHihAVC/MQyZDjkvgkGBFmPgg/9VvNBQaTsRCtLgp90Q2RrCW1W80FDJrgsxvWH7dkiLgwEvlnTgVfF3PNbs8nzeD6TYkASF7w4WevTZ+HhnAf/4zjFV/doAMzmFCgdTbXyxv4iTmQqXvJ3N4fGxtK5T8h+1yKZw3ae5bEoWBuD6lmEMam0iNVdhzd9F7DhjY+62Qvadt7HuwWi3guNImo2blpYUO5IqwuTJEBdXbobtt/btqfvbbxTYbOS6S4xWgT4BB3NzabFlC3XDw0lxXcqpSKEB4qn5sefgnkchtiYYwypHaKj06gW25ZCfCTPfqTyhAWCKgdM3wuFkuLxj5QkN7XgsWQj1aou2uSOQ8YiIEPFD0jwX9QUpNiRBYerGAm7pEE73hs6CY9dZa7HQeOHKCF651oxREwnz01sU+s7PYc85G53nZJP7QpzTeYAnV+YXC421D0RzXUvHn+0s4GCqlQ7v57Ap2cqU9RZevT7S6XqbotDm3exgdldS0VSAYbvoySG0op0PEXm8Kl1oaKlh/9wrU2ioWA2VLzSgcsdDpSLG44W7IHOn+LItA9JnQxI0nvixpKPd6O/EbMIbN5qZfl1kCSFhNhnY8JBQ4RYrrDri/IWfV6gwd5v40k18IsZJaKi0jw9j7QPiH3LGrwUlfDh+stcZEeTNMn+esvLV/kK//U5ULEUK3x8q5PtDhVgC9Ds5mWljzVEvuyZChRkzKsewVYLQcEt1MWxyPPQ3HpfU9FzWD6TYkASN309YybQ4jGamRWH7GWGIx/WN8HhdrUhDsVh4aLmzYPnmoDCkPRsZaR/vWS1c19LEdS3F+W8SnY3vKxuEn8f0a/1PhuaJ//xuoe/8HO78Oo+O72ez55yXyI5usBQpXLcwl+Gf5zH88zyuW5hLgdU/wbHnnJUO72fz3FqLX9dVSWp7yMEB0rBpqeqGTY5H1RkPP5FiQxJUtE/52vcRYd6TiKm+GudznA3uXxeEEb/h0tJX/Aa3NtmvcZ5p+OOUqKNxXHASmdkUhRfWOQx8biH853f/9oatPlrE7yccAuX3E9YSszql8Z/fC8jzsDuz2iANm4NQNmxyPBzoYTwCQIoNiS5wFRmuxEeXLhRSSqmjVlQ1zpoaikjD5iCUDZscDwd6GI8AkWJDElSa1jC6fV+aT8Kxi2I2IqGp81JJ27ri9598eOpf83eR/RrnP+v6MUJknMgITjwOo8HAjOscSzLR4fB0f8/LRO64sZWJ/s0cfe3fLIyBrf3z1366fwTRXr7DQhpp2ByEsmGT4+FAD+NRBqTYkASNPo2N1DA7Zg9qmA3F4uGpVZ4TtVmKFO7/RjiSvnyVs9G+tYMwwGuTrKxL8iw4ElOs7DwrBMuIDs5G+5Obxe6UMSuClyxuYn8zW0fH8OXtURx4IpauDfzzPjWbDKx/MJrv7o7iu7ujWP9gdKlLTa50bRDGgSdimXV98HxRqgTSsDkIZcMmx8OBHsajjEixIQkaHwyLKnFs7lBh6OduK+S9rSX9Gs5l2+g0J5t8u45wfbqPNBl4/gohQK5fmEtiSklHzLV/F9FxTg4ggntFmpyN9qDWpqDvRAHo0ySMOzqFO83g+ENEmIFh7cIZ1i7cb6Gh0rSGkRtaVaMd7NKwOQhlwybHw0Flj0eO5yr8oRp9S0nKkylXRZSIsQHQvWEYHw+P5OHv8hm/UryeuzyCejEGTmcpvLHZIUCOjI8tsTUWYOq1ZjYlW9mUbKXjnBzaxxt5sFs4EWGw4nAR65KEALnqkjD+OziyxPVGg4H9Y2NlrI2qjjRsDkLVsIEcDy16GI/9Nljo+bSvBCQ2nn32WQ4cOMD3339f9hZIQoLh7T3/c43qIcSFGq581m/OMxx9mxj56o5oj+HKTUYD6x6M5smV+czdVsjBVBuTXbZ7Pn9FBFOvNXsMV966jpEf7o2SUUSrKunp8OKL0rBBaBs2OR4O9DIee/dCuucivuK32NizZw9z5sxh92436XUlEg/c1DYc28smNp+08ssxK3mFCvViDNzWIZwmPixDmIwG5gyN4s2BkXyTWFS8vbVtXSMjOphKLJ24o1GsXDWssjz/POTlScMW6oZNjodAT+NRlOW5jB/4JTZsNhuPPvooTz31FJdeemlQGiCpPhgMBvo3M9G/WeCrd5EmA/d0qa5bMKoxOTnw9tvSsIW6YZPjob/xeOVu6L+7zJlf/frWnzdvHnv37uXRRx/lu+++Y9CgQUREuN/yZ7FYsFgcU92ZmZlla2kIkJycTGpqamU3wyfi4+Np3rx5ZTdDIhHMnCkNW3UwbHI89DcezVMgw3NxX/FZbGRnZzNlyhQuvfRSjh8/zqJFi5g+fTobNmwgKqrkLoSZM2cyderUsrcwREhOTqZD+3bk5gVv+2V5Eh0VSeLBQ1JwSPRBkyaez0nD5qCqGzY5Hvobj9PfeS7vBz6LjWXLlpGTk8P69euJj4+nqKiILl26sGjRIh599NES5SdPnsyECROKf8/MzKSZtw8kxElNTSU3L5/FI6LoUE/fvgOJKTZGfpNHamqqz2LDpij8eLiQUcvzi6OBXtYkjJevjmBQa5PbXSauZOQrvP9nQXEo8IgwGNklnGcuj6Cdl7woWg6lWpm42sKKw2IvbaNYA5P6R/BwD/+CbkmqCNKwOQgFw+YJOR4O9DAeAeCz2Dh58iQJCQnEx8eLC00munbtypEjR9yWN5vNmM3VLNiQD3SoZ6Rno3II+lDJ9PsolyKb87E/TlkZat/9cXh8bHH+E3cs3VvIfcucd4oUWOHjXYV8vKuQoW1MLLsrymM8igKrwoPf5vH5PufAX2eyFSastjBhtYVpQUzEJtEB0rA5CGXDJsfDgR7GI0B8FhtNmzYlL8/ZGBw/fpz+/fsHvVHVkbQ8hZWHizAZRSjr2gHk8dh7zsr2M1aaxBm5rmUYYR62gXrCalNY87eVP076n7JcFRprH4imdR0jKTkKxy6KGZL8ImjzbjbH/xXrdnvrkj2FjLRHEL2mRRhzh0YSbjRwNtvGttNW/rVKzFQM/yyXH++LLjFLYrUpDFiYy6ZkEW/j9RvM3NUpnKwChVOZCgt2F7B0bxEvra8G2VGrC9KwOQhlwybHw4EexqMM+Cw2hg4dyvjx45k3bx433XQTy5YtY/fu3Xz11Vfl0rDqgqIo/OO7fD7Z5Zy+84Fu4Sy4ORKDD8sP6XkKdV4ruT1p3QPRXNvStyFen1TEdQtzfWu0G1rXMbDtkVhqRor2Nq8JvRqHcVNbE53mZHM0XeH2L3PZ+kis03UZ+Uqx0Hj9BjMT+0UU97lVHSOXNzdxXUsTXeflsOqolS/3F3F3Z+d/9KV7C4uFxtbRMfRp4pg56lgPbmhlonsDC8/8LMVGSCANm4NQNmxyPBzoYTzKiM/OA3Xr1uXHH3/k008/pW3btrzzzjt8+eWX1doPIxi8vN5SLDRevDKCZ+wJvRbuLvQ5bblWaLw3OJKBrYSxvW5hLqezbJ4uK+ZUpq1YaAxsFcbEfv5vLV10S1Sx0NBiNhn47eEYAP48beNUpnN7Pt4p+nhvFxNP9ze7FVddGoSx7E7hhHzP/0oG5XrgW+F0+4eL0NDydP8Iejb031fmpXUW9pwrGSK9NBRFYcGuAu78Kpdn1uSTZfE/CVyWReGZNfnc+VUuC3YVoCjBSSRXpZGGzUEoGzY5Hg70MB5BwK9v38svv5zNmzeTm5vL0aNHGTZsWHm1q9owfZMwtueejmXadZHMviGSMxPF078vT+L7zzsMoe3lOJ7oG8FPI2N4Z5DwT3h4eekRM5/8SRjruUMj+WlkDPd28d+ZMsJLUK0GsUYm9hN1/i/ReQbndbugeqib93uO6OD4Jz+jEVBaMdWnsec/Z4PBwPNX+d+vn44UccXHOZzMLF20afl0t3CW/V9iEW9sLuDOr/2fNbrjq1ze2FzA/xKLGLU8n093F5Z+USgjDZuDUDZscjwc6GE80hT4xfNpX9H3togQp8jmeFKtH+MYioaaSJfaMu7YdlqIjbcHOs8KPNpLGNZVR0t/Kl+WKHw0RnYtv2BZde0+KCk5zv05ky1+b1LDd/+S1FzF7fvSlpxMPixJuWIDsgpg8wn/Zjd+PFyE0QA2RbxWHbFiLWUstVhtCquPWouvNxpEndWWvDxp2FRC2bDJ8XCgl/H48RBs8VzEV6TYqES0Gyu0hkg7XV5aMtAGdmGy8oizITqYKp7Eve0AUVGFwNE0/57e/eGUfQYiKtx9h+IifBcC2jqi/AhLpxUm/tKiln//KtryRgM0rWHwy2E3zGigSQ0D2kta+tmGkOKll6Rhg9A3bHI8BHoajwunoKbnYr5Sjb+9Kh8Rvlv4GPSdn8OZLBsXcm10nSdy+naubyz1af2GS8X1q45ambetgOwChV1nrfT4P1HHh8NKZkF1Zdldwh+i+//lsOusFUuR/0bZVoo/wft/iiWAa1s4+1Tc1FaohS/2e18iSMlxCKGWtRyfScvajj/hYxe9i6UDqf77XpiM8J8bzB59QTzx0lVmbmwVhgFoEmdg2V1evoQ8sOzOaJrECcFxY6swXrq6Gm/dTU6Whq06GDY5Hvobj8EdYIznor4iU8xXMivvi6bmrCx2nLHR+E3nFOiqY6U3wowG1j0QzXULcxmzIp8xKxwRSu/qZOKaFqUP8VWXmLirk4kv9hcVixR/mftnAR/d7P5e7211OLomNHU22v+5wcwPfxUxaY2Fqy4x0deNUc8pULje7sD6r8sinGYITEYDz/SP4LXfC+j9QQ7JT8US7Wb2ZO85K29u9t/nYfM/ound2P9/kzizgZX3xWC1KX5vQVbp0ySM5KfiylRHyDBtmjRs1cGwyfHQ33i0LYK9nov7ipzZqGRqmA3kvxDHGzeaMdlHY9b1ZvJfiKOG2TcDc21LEyefiuX2jsIoxkcb2PBQNJ/f7vvT9Oe3R7P+wWifll3c8fGuIl7/zUJ2gWOGw1KkMOaHPMavFALo+3uiSszUtIsP457Oot2Xzc9h0/EipyWlYxdtXPJ2NnvPi1mLF904eU66XBy7kKeQMD+H5AznGY5vEguLZ4v8xZfIp94Ihkio9kIDoF07z+ekYXNQ1Q2bHI+qNR5+IGc2dIDZZGBCPzMT+gU+Td6khpGv7vB/ql7LNS1MHB4fy44zVnp94L9xfuZnz7EsPh4eyU1t3f8DL7glipOZIijXVQs879o4+EQMdaNLfmHERxs5+EQM7d/PYe95IU7c0a+pkc0ny88vRVIJSMPmINQNmxwPgV7Gw0/kzIYkKCy9NZIrm5dcAunfLIydj8UwyktukogwA788FM2iEZG4e4h/9vIIUifFes2P0i4+jNRJsTzdz/19Prstiv8OLt1/RVKFkIbNQagbNjkeAr2MRwDImQ1JUGgXH8bGURFkWpTimBRNaxh9XgoyGgyM7BrByK4RnMmykZqrEBVuoEUtAyYflxHqRht5/cZIZg4wc+yiQl6hQny0gUZx4stmxxn/HUQlOkUaNgehbtjkeAj0Mh4BIsWGJKjUMBvoWK9sieYaxRlpFBf49SajgdZ1pJ9DyCINm4NQN2xyPAR6GY8yIJdRJBJJUFi+fDmXXnopJpOJ7t27k5iYCMC+ffvo06cPtWvXZtKkSWULuy4Nm4NQN2xyPAR6GY8yIsWGpEIpsikcvmBlzzmrT3lb3JFpUTiQYuVAipXMAHKOSILP0aNHGTVqFLNmzeLUqVO0bduW0aNHY7FYGDZsGL169WLbtm0cOHCABQsWBHYTadgchLphk+Mh0MN4ZAPveT7tK3IZRVIhpObaeP23Al5zk1xu4S2R3Nc1vNRtprvOWhmzIp8tJ519L3o1MjJ/eBTdG3pfvikt8JgkcBITE5k1axZ33nknAGPGjGHo0KGsXLmSjIwM3nzzTaKjo5kxYwZPPPEEo0aN8u8GhYUwa5Y0bBDahg3keKjoZTxWJgnBUUZ0KTaSk5NJTU2t7Gb4RHx8PM2bN6/sZlQ6xy5a6dnIvbE/mGqlw/uet9I+8G0+H+4o5OcHoonwEJ/9k50FPPxdvttz28/Y6PF/OXw0PJKHPex6KbAqPLnS/fWSsnPTTTc5/X7o0CHatGnD7t27SUhIINr+Zd21a1cOHDjgsR6LxYLF4tg+nZmZKd7Mng3bt0vDFuqGTY6HQE/jcfSo9zI+ojuxkZycTIf27cjNqxqGIToqksSDh3wWHDd/lsPCEdFc29K/j37j8SJu/SKPC3kKt3Yw8d9BkTSp4fsqmKVI4a0tBUxeayHMALMGmBnfNwKzl2yt/nDbl/mkTjKViIORmmsrFhrx0Qb+fCSmOG+Ioij8edomgnklW3no2zyW3lbyH/v7Q4XFQmNM73DeGhhZ3O4Cq8K7fxTw9BoL//gun/oxBrfxPG79Ik/G2KggCgoKeOONN5gwYQJHjhyhZcuWxecMBgNhYWGkp6dTu3btEtfOnDmTqVOnlqx02zbxhSoNW2gbNjkeOhyPW2DIXpjtvXhp6E5spKamkpuXzz+6h3Msw8baJDFlbgSa1jRwewcTzWoaaV7TQJM4I+EuT8KFVoVTWTaSMxROZNj4OrGIkxkKqpm5vmUYCU3DaF7TSPMaBurFGEpEtcyyKJzItJF8UeF4hpUPdxShTsAbgEd6mrikZhg24KX1+aSmpvosNk5mwXULc7mrk8nnCJ93fZ3Ll/sdidaWJRaxLDGbdQ/4JloyLQo1Z2UV/25VYNIaC5PWWMh4zvdIpaXx+u8FzBrgHMti+kaxbNKlvpEto2OcQokbDAb6Ngnjj9ExXDY/h8/2FfHva6y0reuYIVEUheGf5wHw7uBIxvV1nrmICDMwsb+ZC3kKM38tYNhnedheNjmN6aFUKyvKKWNqWUOJq0s7ZYlU6k822YpgypQpxMTEMHr0aF588UXMZudgdZGRkeTm5roVG5MnT2bChAnFv2dmZtKsWTN4/nlp2KqFYZPjobvxuL5mUMKV605sqHy0q5Bwzd+QDTidpfD2H4Wo361Naxj4/eEYmtUUBU9k2Oj3US6nstQvcPHSPs9uPG4tFjAAd3Yy8dltUcVf9l/sK+Tu/+UVnzcZwWAAdbnfYBChuYtsgRmvz26N5J5l+Xyxv4ixfYq46hLvQ7A+qahYaOx6LIZWdYws3lPImBX5XLcwl6KX4ko1dv0/ciR2++XBaAptMHRpLjvO2Bi8JNenHCy+MPu3Al69zlzcniKbwjt/CLGx9oFotzlLAPo2CeO1AWae+dnC06stfHeP4598s8Y/w1VoaJl+nZmZv4p7bTlppV8zx+f62m/i+MR+4bwRQH4Ud/x5ysqIL3I5naVwY6swvr4zmlg/MtcC/Od3Cy+sE0sGM64zM7G/fxFksywKd3yVy6qj+okfsm7dOt5//322bNlCeHg4derUYd++fU5lsrKyiIhwP5Zms7mEOAGgb1/PN5WGzUFVN2xyPPQ3Hqe/817eR3S9G6XQZda7yAY2RaRdbxBjYO0D0cVCA6BZTSNrH4imfoyBMIMoW2TzXOfN7UwsGhHl9FR5V+dwPhoeiQExi6HeU0WtM9Dn0LbxIqImwG1f5pVSGh75XpTZ9VgM3RqGERth4PHeEQxsJZ7+1/zt3dAoisL+FNHpPY+LcN8NY41sHS3a8PsJa9m2IrqQdNFRV1K648OuF+P9T+3uzuKL4Pu/nEXcL8dE/8Z7ERogZgZeGyCM1Ppjzp/J4r1CYHT0EoHUX0Z8kcvZbAUFMQbTNrgP0+6JraesTFpjocAKBVZ4eo2FP0/5JxqmbbSUOv4VSVJSEvfccw/vv/8+HTt2BKBPnz5s3rzZqYzFYqGOty9of5CGzUEoGDZvyPEQ6GU8/ETXYsMdJiM0iDXw28MxTtPtKu3iw/j94RgaxBqKE5u5YgDu6Gjiqzui3DokPtwjgoUjIovLurseYNq13g2gJ9RkZ6m5pRv5o+miTLt4584Mai2e3M9le/dDsGpuoV1a0M6GWIM4C59X6Kgsz4/JH09bWHPt9TWKLV3eqUngtG0AYcwB6kYHZ7nIalM4naU4fW5JpaS3d+W4m/LH/KzD3/LlSV5eHjfddBM333wzI0aMIDs7m+zsbK688koyMzP55JNPAJgxYwYDBgwgLCwIwk8aNgehbtjkeAj0Mh4BoFuxcUlN94ahyCbSsrfykp20VR0jK++LLjGrodIu3sjS26JK+HtoGdk1guev9CwmXrgygiFtvPwRe2HRbvGkrWZp9caN9hmMD7c7pv8VReGpVeJJuo+blOxatKG+z2qEyfkcm9syZSVeY9Dj/TDu6tJX4zjna+rZ67iQV7oiOnRB9KlejIe/nSDN4IQZDdzYKsyxTKfAkDb+rUj2axZGXISYpQszQFyEOOYPQ9qYsCmBz7IFk9WrV3PgwAE+/PBD4uLiil+nTp1i/vz5jBs3jvj4eJYvX87s2WX0NANp2LSEumGT4yHQy3gEiG7FxsV8z4bBl0BOGV6uT81VfDKwmRbczo6YjOJcIIz7MY+xP4qdFW8PLD0x2Cc3RwHw5E/5DFycw/tbCzC+4nD29CU0uLq80OiNbJ5Zk8+L6/Jp8B+xcfolNynby4KahwSgseb9N4nefSUW7BJ+FZP6O7fnto7iy+KNzQVeZ3EsRQpf2H1bbuvg/AUz4zrR/5mbSsb4CJSv74zm6X4R3NbBxCc3R/JgN/+EZ9MaRn59OIZ7u4Rzb5dwfn04hqZ+7C4CeLBbOJ/cHMn1LYO3PBQoN998M4qilHi1aNGC4cOHc/ToUT799FMSExOLl1gCRho2B6Fu2OR4CPQyHmVAt2Ijw27MjfYnP/U9wL7zpU8fq2XUa8IMjvepuQqpuaXXseeclUKb3UkU8TIZhd/HnvOBrZWr2y/XPRDt09bVxnFG1j0g/hFWH7UyThMrIu0Z3xKIPN0/ggfsxvD13wt41W50H+4eztRrAk9r78qiESXF09JbhVi69cs89p4r+ZkpisLrv1n4bJ8QCq5xMprWMNKnsficLv84B0tRSRF5MV+h73zhBNushqHE5zq2j6hz+5ngLTvERhiYfUMkX94RzUPdI0rsaPKFrg3CWDgiioUjoujawH/BYDAYeKh7BLNv0H8224YNGzJ06FDq1q1btoqkYXMQ6oZNjoegsscjSG5hut2NAhBlEoZyQj8za44W8dzafP5OV9jng6FXy7SsZWDm9ZHc0MrEG79beGNzAXlFsP+8jatbeDf2e+2CZWgbE6/an45fWGdh+aEi9p4LzHC9OziSMb3D/doueW1LE0UvxbEuSYT47tU4jM71fTdOBoOBT2+J4u2Bkaw+WoRVgcGtTdSOCt4EfI+GRu7tUvIf/K7OJj7dHcaqo1a6zsvh1evMDG1jom60gewChcd/yGfDcTFWS26NcrsN9+s7o7nk7WyOpivUmJXFR8Mj6d/MREQY/HXBxvULc4vL/upmZ03NSANLbo3ivmWlO+RKdIw0bA5C1bCpyPEQ6GE89gIHvVflC7oVG/d2NvHWoEjq23cx3NEpnBEdTHy6q7DYOHkjswA+Gh7JA93Ci5dMpl0XyfjLIpixqYAjaTaubuH5+vM5Nno0NDLj+kj6avwivr07mj9OFvH8Ogtpef4Ljv7NwgKKyxBmNHBDq7INV+0oA3d1DszPpDTmDo10GyvCaDDw3T3R3PZlHj/8VcQL6xzbPbUsuTXKrVgBaF7TyOHxsbR5N5sCK9z/TcmAb+Yw2D82luY13X8p3dslnL/Tbby0PsD1L0nlIg2bg1A2bCDHQ0Uv45F8Gr73XsQXdCs2JvY3FwsNFZPRwD96RvBQ99J9NhbcHOnWqNePMfL2oMhSAyHVjTLw8wPu409c1tTE2gdM/HmqfAJFVUW8OdtGhBn4/p5oDqVaeXtLAfM0zq4zrzcztk9EqYHFWtcxYn05jtVHrbyywVIcf6NBjIFPbo5kYGtTqYGxhrQxSbFRVZk7F376SRq2UDdscjwEehoPe/bmsqJbseENX2YGSitT1vO+lpE4aBcfxtyboph7U1RA1xsNBga1NhVv+5VUI1auFMZCGrbQNmxyPPQ3Ho8PgrZ74GvvxUtDtw6iEolEUsyTT0rDVh0MmxwP/Y3H5e2gtffiviDFhkQi0T833uj9vDRsgqpu2OR46G88ypC3SUtIzEd/f6gQgwG32T59QVEUXlxn4al+EcRHS/0VKPlFCssSi/jrgvCnaFs3jFs7mIj0I7PsyUwb/ztQSEquQnS4gWtahNGvaZjPW0sVReH3E1Y2HLeSW6hQL9rAbR3D/Y5hIalCSMMmCAXDJsej6oyHn1R5saHNCuqa7dNXfk22MuPXAr7YX8iRJ32LXSFx5v2tFj7e5d5hdkzvcP47ONJrILXkDBu3f5nLn6fd7/D5/p6oUsXkD38VMuyzkttb/7XKQtMaBubdpP94FBI/kYZNEOqGTY6HQC/jEQAB1zZo0CAWLFgQxKYEhjZ1+I8BphGfv1PsjjibrRTn16gMbIpSnHI8UIpsSpkSqymKQlEAKctVoXF9yzBev8HMs5dH0LOR+POau62Q6z7N9VjvkTQbl7ydXSw0JvaLYMZ1Zsb1cXyhDPssj092eo4A+vHOAieh8doAM1OujuCuTkJPn8xUuGmpjLMRUkjDJgh1wybHQ6CX8QiQgGY2lixZwqpVq7j77ruD3R6/UBSFl9dbiiOMvvyLhSFt/JvdOJJmY/EeITZyC2HunwVMujx4UTV9YdtpK30+zHE6tuUf0VzW1LfhURSF//xewDM/O7Z1dqpn5Pd/xJS6pVQl06IwaHGuU0p3f1n7QDTXtXS0eRZwMNVKh/dz2JRsZcp6C69e7zy7YFMU2rwrQqe3rmPk11HRNIh1/KG/OySK97YWMH5lPg9/l0+PRmF0b+gc0GzXWSv/+E7E3njhygheudbstA3201tEhNE9AQZik+gQadgEoW7Y5HgI9DIeZcBvsZGWlsbEiRNp165debSnmCV7CjiTZWJwG0f8hN1nrfx52spfF2wcTrOx77yNI2kOA7LjjI127+XQqb6RNnWMtK1rpE/jMLrZjZNNUVh5uKj4+kMXbOw+aytOpqUgIoR+eaCQDvFhtKljpE1dI9e1DCuO+XE+x8a6JCuHL9jYUgbDrPLHySISPsotcTzho1y2PRJDr8alRwp9aHk+C3c75x7Zn2Kj5qws8l+Iw1yKz4SlSKHmrCyvZUrj6zsjnYSGSvv4MNY+EM31C3OZ8WsBL11tdvLh+OmImBGJNMG+MTFu2zqubwT7z1uZt72QJ37M5zeXKKGjvxMzFm/caGZCv5JC0WwysOGhGGrP9r+PG48V0amesdTP0B0nM21sPmGlRS1jqQnzPPHnKSvHLtro1yxM+p2oSMMmCHXDJsdDoJfxKCN+i42JEycyYsQI8vK8T0lbLBYsFseTdmZmpl/3eXNLIe3jw5yeUCPC4KX1Fs5mKxgQ4sCVw2lCgChAw1gD6x90/NEZDQZOZSlMWO05sFOhDbadtrH9tKhjWFsTI9o7PqaaZgNL9xby/V/BCeilCo2v74gqTjr2vwOF3P5VHr0/zEGZUsPr9el5SrHQODMxloaxRhRFoeu8HPadt/HOHwU8U8pMzbtbxfJEr0ZG/hgdw+5zNnp9kOP1Glda1vJsTK9raeK6lmGsS7LyTWIR92gihb6yQdx78Ygorwb97UGRzNteyO8nrGRalOIZm0yLUpzzZFxfz0nlakUamDs0kjErSkYf9cZTqy18sruQD26K9Bq4zJXDF6yMWp5Pnv3P5F+XhXN/N/+S3i3cXcA7f4ixjTbBxzdH0qZuyc85MaUazdhIwyYIdcMmx0Ogh/EoAs55r8oX/BIb69evZ+3atezfv5/x48d7LTtz5kymTp0acMOmXB3BI72cv5w71Atj40PRXLUgl9RcxWMK+TCjSG++8aHoEl/Oj/aKINxI8bS7N++EEe1NfH57FBEaI2M2Gfj6ziju/jqPbw6WTXBo/TNUoeF4n1dcxltkzNVHRRue6R9BQ/vyg8Fg4JcHo4l/PZtnf7aUKjaesy+//HBvdLkFKhvc2sS6JDErpeWPU2J2qEUt74paK0ROZtqKs92ezHTUF1GKGGhW0/e+WSyW4hmvPedsbmef/OHtPwp5+w/vmW+9kVsEd//Ps1AyGnAS9yGJNGyCUDZsIMdDRS/j8UsqfOK9Ol/wWWzk5+fz2GOPMXfuXOLiSt+xMXnyZCZMmFD8e2ZmJs28DZgLw9u5/wNrUzeM3x6O4apPcjibrWB1UQthBhHCetOoGFrWdv8BjuoRQUSYgfu/cT87YwDu7GRi0Ygot0+zEWEGvrg9iqFLc1nzd5BS4gWIKrgiXB54C+zNMvkwK6Z+huHlOEufkuPd6bReTPlHY03P893x1Ww2o/qzRrXrT3QbL18K5UhR+hkytnyNKa4uNRJux2AqOTtSlHGOjE2LMZsr1teoQvn8c1i8WBq2UDdscjwEehqPXXu81+cjPouNadOm0adPH4YOHepTebPZXG5ffpfWNjK+b4TbhF4K8ORlER6Fhsp9XcN57XeLW6dBBZh5vfdp8/AwA+P6RrDm78B3OGhnLP53oNBpGcVdGXcMaSOGcPqmAsZfFkH9GCNWm8JNn4kn8dkDSh+DmdebmbzWwjWf5rLncff5YMrKmr/FDEzbus7jUj/GwPkchSNpNo9J1AAKNKpS67ugfW8pUrwuxZzO8n+XTWyPwWTvXElE/Uup1b9yHKKjLu3FuS9eImfvz9S/YypGs/OXquXsETI2La6UtlUYUmhUD8Mmx0N/43HvldCdMs9u+Pwsu3TpUpYvX06tWrWoVasWS5cuZezYsYwdO7ZsLQiQA6m24sBmYQaKd6QYDXDAhzVsm6JwKNVRzlVXHEgpfcbi7/Syr5Vve0QY99u/ysMwNRPD1Exu/0oImC3/8PIPZKd2lIFR3cU/ZYP/ZGOYmolpWhY77H4MT/Qp3U/gqQRRZt95G8ZXsvz21wDYesrz55WYYmXnWdGeER2c9e0nN4vdKdcvzCUj37MYePcP4dvRp7HRaYdNDbOBhKZiWuepVZ6XGSxFSkBJ2GK7DqTmlSPJ2LSYi79/7vf1wcDcuB0N7ppGQcpxzn81BZulbEs6VZKRI6Vhqw6GTY6H/sbj+i7QwHvVvuCz2Ni0aRP79u1j165d7Nq1i+HDh/PKK6/wyiuvlL0VAbDrrLV4CaFdvJF28aIrRTZxrjSS0hUsVrFkAnBjKxOxEUKsgDC8pXE0rexio1fjMLeiYtsjMT5vff1oeCQvXeUsKi5vFkbmc6XvRAHhD5HxXByd6we+jjJmRT6JbgTa2r+L6DhHiJcxvcNLRBMd1NpUvAR01YIcLEXOgsOmKDy/Np+n1wih8MGwkknc5g4VgmXutkLe21oyFse5bBud5mQXLy35S63+d0vBUdmUts1eGjZBVTdscjz0Nx5hwVlf93kZpWnTpk6/x8bGEh8fT3x8fFAa4g9Wm8JfF2xcUtPAjOsjubuz6Mbn+4p4fm0+f12wYbUpXp0d99sN46DWJmZeb6ZbwzDS8xRe+83CW1sK2OfD7MjR9OAEALusqQllSo1ih9HSlk5cMRgMvHJtJK9cG0mRTSHMgN+RVGuYDewdE4uiKPx52spl8/03Zh3n5NA+3siD3cKJCBMB19Ylic/5qkvC+O/gkhE8jQYD+8fG0ubdbPacsxH5ahZ3dTLRp3EYNgWn2CEfD48sEWMDoHvDMD4eHsnD3+UzfqV4PXd5BPViDJzOUnhjs+dgYL6iLqGoyxWVsaSiCo5zX7zE+a+muF1SqZZIwyYIBcMmx6PqjIefBByuvDKjh17IU3h7YCQP9wh38qu4t0s4d3Q08fHOQi7kKdT34nRoDjPw66hoLm/u+AhqRxmYOSCSJy+L8GmnSdcGRlYeKVtftPgrMtzhLSS4LxgMhoDquL2Dia8TiziYamPyWufliueviGDqtWaP9bauY+T4v2K5/OMcTmYqfLG/iC/2O3/+pYUrH9VDiAs1iuis35wFRt8mRl6+2lymKKJ6FRzVGmnYBKFu2OR4ONDDeARAlcyNUj/GyGO93fsihIcZPJ7TMrC15643ijMy1gdfhzs7hTP7t7I/NYcCk680s+jWKL5JLCre3tq2rpERPiZia17TyImn4jiVaeN/iYWk5ChEhRu4tkUYCT4mYrupbTi2l01sPmnll2NW8goV6sUYuK1DOE1qGNlxpuw7h/QoOGpd/WCFt0EXSMMmCHXDJsfDgR7GI0CqpNiQ6JNIk8EpYFcgNKlh5MnLAt/FZDAY6N/MRP9m5fenrTfBkbZmXoXfv9KRhk0Q6oZNjocDPYxHGSjHyAoSSeiiJ6fRwvSzlXL/SkMaNkGoGzY5Hg70MB5lRIoNiSRA9CI46t44plLuXSlIwyYIdcMmx8NBZY+HDQiCb6Lul1HS8xTqvJbFklujuDfAKfqlewu5b1keac/EUTsqMAfK3h9kYzDAn4/EBnS9BA6lWpm42sKKw8L5s1GsgUn9I3i4RwQ1I0sfF5ui8NORIkYtz+e8PSLpZU3CePnqCAa1NgXFwdZf9LCkEl7vkgq/Z6UgDZsglA0byPHQoofxWJ8BX3u/tS/oXmysTRKGafLa/IDFxrM/i2BP65KKnHKQ+EqWJtlXdoFCbETFGzW9U+gaN15DgVXhwW/z+Hyf8w6TM9kiKd6E1RYWj4jivq6ex+ZImvtYGX+csjLUvsPk8PhYWtfx/A+28nBwkue5ogfBEfKsXg3vvisNW6gbNjkeDvQyHjt3er+3j+h6GUVRFGZsEtsoT2QoTunkfeXwBSunMoUhnPGrBUXxbBQ9MXebY8fJ3D/LtvtkywkrVpv/bbDaxFP9p7sKfIpu6o60PIUlewr5Yl+hX3lCfOGpVflOieVUrDaFAQtzi4XG6zeYSf5XLPvHxrB6ZDT3dhF6d+Q3eSzd6z5RWXKGjTbvOoTG2geiOf6vWLY9EsPXd0QRaZfMbd7NJjnD/d/Ikj2FvBhABFFf0cOSSkjz3/9Kw1YdDJscD4GexqNGLAz33gRf0O3MRpZF4dPdhcVhrsOM8OK6fP5zYySN4wylTpnbFIXTWQovrrcQZhSRRXecsfHp7kJuaR9OLR+m7S1FQuDM+tVhpGb9VsCQNiavT9DeeGJlPk+szGfdA9Fc29K3j399UhHXLSwZZMvXZSFFUfjHd/l8ssvZmD/QLZwFN0f6HQDMHZtP2vhyfxF3d3b+4126t5BNyUIlbB0dQ58mjqBcHevBDa1MdG9g4ZmfLdy3LI+b2pqcwpEDXP6xiEDatYGRjQ/FFC+5NK8pIrDe1NZEpznZHE1XuP3LXLa6LHVl5CuM9JB0L5jIGY5yZPBgadiqg2GT46G/8bi/OxzZBN95b0pp6FZsXPOpMK5hBpGVtMiGPdhTNuYwaFnbSOf6Rt4aGFmcjOtEho2nVuWzP8VGUroNi8sEQJgBRi3PZ9TyfGpFijgQ11xiYuYAc7F4+SaxkLnbCjiQYuNMtoJNcYQ0B+FD0nluDkYDxAcQvLFfUyObT9q4bmEupybE0jjOu2g5lWkrFhoDW4UxuLWJf60S4qfOa1koU2qUes+X11uKhcaLV0ZQYIXXfi9g4e5COtczMqmUFPS+cs//8kqIjQe+FUtYf7gIDS1P949gxeEiNhy3MufPAp67wtGek5k2TtpnpraOjnEbft1sMvDbwzE0fCObP0/bOJVpo4kmQdvHO8Vs1KDWYfx0pHyz9ErBUU6MGSMNW3UwbHI89DceF3/23g4f0fUyClAihTyAxQqHUm0MamVyyvrZrKaRQa1NHEotKTRc67qYD8cuKjzcI9xplmRIGxGE6lSWUpxiXNsE9b1NgfP+5yvjvSFRvDNIGNOHl5f+tP3kT8JYzx0ayU8jY/hnghnby3HF5/eeK914Tt8kjO25p2OZdl0ks2+I5MxE8fSvDQceDM5kOZYxTmve92ns+U/NYDAw7yYRytw1+qiaAffuziaveV4axBqZ2E8EYvtfovMMzuu/i/4Pa1N+27q0yCWVckAatuph2OR4VJ3x8BPdig1P2d0N9tent0Tyj54lo3yO7hnBglsii8u5w2QUOyF+eziGdvHOT9tmk4Gv74zi1g4mj9er7biuhfsn9dJ4tJdo96qjpQuFZYnC12GkxnnSYDDwnj3PSGlRMYs0/iH1YxzD3TDW6LZMWUnNVdy+L22pJtxDKPMUex3t6pb+p1rXvqSUkuPcnzPZ4vf6FbiRSAqOCkIaNkGoGzY5Hg70MB4BoFuxEedhZl9BCI37u3kOJ/5Atwg+vSUSTya0dqSB3/8R49HvIiLMwBe3R3FLe8+rTLe0F8svgXDQntreF78P1YC6Zpj97i/x9F7aMoxWtGkdU7WOsp6EXSBEhTsqi/Jjke5Mtuif2UW/RdvriwkvvZGn7DMpUR7KRvtQRzCRgqOckYZNEOqGTY6HAz2MR4Do1mcjygQXPZzr5ibzpytdG3guExsBLWp5N9Imo4GO9Yz88BcUumxwCDdCp3rGgBKWHUq1cu8ysTTy4bCSWVBdWXZXFFcvyKX7/+Ww87EY2scb+WB7AavtsyLXtfT+WYjw3WH8fsJK3/k5/HBPNBFhDp+YzvWNQXEQVUnPs7HjjBAy2hmTH/4q9CqMvjkoxNPg1ian2ZpGsaJtz/xs4dqWYV4dg9//0y7AYg1OdVzZPIxNyVYW73G/26U8kT4c5YQ0bIJQN2xyPBzoYTzKgG7Fxtls8dNoEP4RJvuOEoB9521exYRaRkW9VnU2PZ6hkF+klJogbN95W/E9VV1hszur7kuxMcLL36cnVKFxVycT17Qo/eO/6hITd3Uy8cX+Inr8n7OTyPoHownzQfCsvC+amrOy2HHGRuM3s53O/fZwjB+tL4nFYikeI4C+HlLTq9lYS+PbQ0V8e8h9PIw+H/qW9n7Ud/luj3+2rwijQbS5IpGCI8hIwyYIdcMmx8OBHsajjOhWbKjPxK3rGHnucrFb4X92/4V9562Ad2c/UUZwS3sTQ1qbmPVbAX9dsGFTxFJG91JmSHaetaIA0eHwrH3HxuzfLOQWws4AM4jWioTld0dz1SW+f/Sf3x7N472LeOT7fI6k2RjYKoyPb44qdQlFpYbZQP4Lcbz/ZwHP/myhyAazrjfzr4QIr06XvmA2m4XQMJqo2e9OTLUbOZ0vSj9DxpavMcXVpUbC7RhMpWfTDYTcw5vJO/Q7Ue36E93G+QtBKSogc8vXFGWmYLMVYTYHZ/eNP0jBESSkYROEumGT4+GgksfDcNZIAOGpSqBbsdEoFmYNiOS+LuGEGQ2M6hHB9tNWnl+X7zRr4Yl9KcIov3pdJL0aC1HxQLdwluwtZMovFvadt3oVGzn/396dh0Vx5vsC/1Z30w00OyhoUEFFR80QoyES75hVRRPUQxLXeLzBy8Tljo4RScacKBonxJjjMt4hekWPSpRoNJPjOZlRMYpLXKNRBFEUgsJokH1paJpuus8fZXWzNL2vxe/zPDxPuqmuel/K8H6peuv9tWpQ1azBihfE+NPvxAj2Zk/w4hgPfP5jK7682gq5yvwzcHKeFKP6mD+x9OUIEe4tsXyGo0TEYPkLEix/wT4DbfCkJfD57Wt6v+c1cDQeH1yFprwf0Hv6Wggktk3PdRcOQF54Af7j5nY7iEt/Mw7l+z+AsvK+TY9tDgocVqKBjcXjgQ0AnY/2XOB8zBgdj1ElvfEhPjTcViNcdoLodzO9Me8ZcYfbBKP7CnF8rhTrTZiY+fl4CY7NlWqDBgAIBQzmPSPGnf/rgxfCDecslRq4+wcffDHRUxs0ACDEW4AvJnri7h98oLLvkg1uxVB9Dq46aWvlA1QcSoVaYdrtEFPUXTiA+nP7DAYNABBIvBE0YaHNjmspmjRqoStXaGADeD+w0flox0XOx519+7HwTet/d7ps2PAw8IjE8F7GrwwY2kYiYjDIyJMg/p5Mh4WhOnvKTwBfiXW3IHoSewQOU4MGh/EwPiHXEShwWCAtjQa2HjCw0fl4woXOh8hGt51dNmwQ/rFl4DA3aLgaChxmeu45Gth6wMBG5wMudz6iExMNt9dEFDaIQ9kicLh70OBQ4DDDhx/SwNYDBjY6H653PsQ+tlkNkRdho0XFPspqjfoWjUUVYYn5rAkcfAkaHAocJqKBrUcMbHQ+3Oh8mIkXYcPr00Z4fdpo8eeLa9QI+LwR//qd/vUZiO1ZEjj4FjQ4FDisQAObDp8HNjofOq5wPizg9mHjbrXukZB77f7bHIefFPs68YuKrm44kDmBg69Bg0OBwwI0sOnweWCj86HjCufDQm4fNtLOtULIsKuDpv3Yavbnm1o1+Pw8u6JkRZMGR4v0r15pTwqVBut/VIBZ2wDRJw349wsKKMy8LfSoUY24fU1g1jZg8NZG5JSY34+zD1QI2dCI0TssKGdrIVMCB9+DBocChxloYNPh88BG50PHFc6HFVx2Ua8KmRoaTde6HfUtGtyrUeNetRqF1W346qZSu1R2Zq4SA/wZDA0WYkiwAFHBAvh1ejxVo9HgUaNuH9m/qFD35O6JkAHeP65AYZUaUcECRAUJEBkogLjTY7itbRqU1Kpx9oH1waRBoYH/et0toDYNkHJCgZQTCtT/ybdL+/XJKVHh1UzdIF1cq8Grmc2YOUKEA2+btoDWzMPN+OaW44MWoAscjw+uQsWh1A4Lf/WUoMGhhb9MQAObDp8HNjofOq5wPqzksmFjcpYcM0aI8PVbXtriWwfzlZj1ra7GhkjPufn0XKu2ngkD4MDbXpgxgj0xao0Gs7+VdxhUPQS6pdHbNMAvtWqsOKHQBphwPwYX5kvRz589WFm9Gi/sasLDRtvcbhm7i72K8HRvAU7/b28o1cAbWc34+Vc1Ju9vNlq7pE2t0QaNrZM88fvRHiisUmPk/2/CwVsqLI5RGV0aPadEpf2Z3FggRWOrBuN2227hLVPoCxwN1/6rRwUNjjsHjqqqKsTExCAnJwcREREAgPz8fCQmJqKoqAhJSUnYsGGD5cX/aGDT4fPARudDxxXOhw247G2UlwYI8VWCLmgAwMynPbBrqicYsEFCpdYVAAN0RdK47++a6qkNGgAgYBhk/osXpg7VDb6dK7py+xQyQKiUwcl53tqgAQD9/AU4Oc8bvaWM1T88jUaDW5VsA24ulCLYW4AwHwGuJLEB40JZm9E5JKdK2HkqcYOEWDJGDE8Rg2fChLi+gN3HW98YL4D2+/9mt7mxQIpnwoQOL8XOaX9LpWzLDJcIGsrKB045rjveUqmqqkJ8fDzu37+vfU+hUGDKlCkYPXo0rl69ioKCAuzZs8eyA9DApsPngY3Oh44LnI9Wmazb75nDZcPGhvGSLrcvAGD+s2JkJrArQeobErn3MhM8kfhs16JfEhGDw9O98PZwkd7PA+wVk1AfBufnSzEkuOtKpENDhLgwX4ogK0t8tLXLEe3/0mu/RHubkQsoDxvZsDJlSMd/hIOfrJBa1Wz8CkxxLbvN0BDn/3OQ9B0Kz/6/1b72Gz3Via0BqrO3QfGo0CnHdrfAMWvWLMyZM6fDe0ePHkV9fT02bdqEQYMGIS0tDbt27TJ/54WFNLBxeDyw0flox0XOx83duw33yUQuextFZGC58rnRYtypUiPtnP4Jof82Toy50d1XF/UQMvj6LS88/bgJhdXqLt9Xqdmy7IaWNB8UJMBfJ3ti1reWPy4rahcqymVqhPmwx6toUuvdRp/RT4q6/eFoCxbHeGhDy1e57BM2bw83foonDhIiu7gNGdeUWDLGPlVZTVV34QDkRZfhNXgMWkrzuszhcDSPwDA8PrgKoTPXQdJ3qMOP7063VDIyMhAZGYk//vGP2vdyc3MRGxsL7ye//KKjo1FQUNDtPhQKBRQKhfZ1fX09+x8ffwwMGACsWQNoNOxgpM/Dh8DKlewv0j//GZBIut+2thb46CP2+599xv7S7W5buRxYtQooLQXWrQP69+9+W6US+Pxz4OpVdv/R0d1vq1YD27YBR48CS5cCL73U/bYAcOAAsG8fMHcu8OabhrfNzga2bgUmTwaSktg+dOfKFXZJ+OeeA5KTgdZW9kufwkL2Z9G/P52PHnA+FK+8goaGBgCw6mlNs8LGkSNH8P7776O0tBRPP/00vv76awwzlCbtqEHBXoHofBtEJGC/Z4xIwBj8q79BYfyH2mj+wy9dbBgvwQc/KNBnowwpY8UQC9l5JwCw6kXjA/9vQ3VXXgSfNGJznATHilQ4XszeXtkSZ7weyO5pXnhqkwxLj7Xg+3tKPBva9WqOI3SeDKp4VKh30qgjBU1YiLozeylwmCAyMrLLew0NDR3eZxgGQqEQtbW1CAwM7LL9Z599hrVr13bduVwO3LkDTJ9uWmNqaoz/ldneggWmb5ucbPq2n3xi+rZbt7Jfpti3j/0yxdGj7JcpLl0CEhJM25bOhw6Pz0d+Zib6ZWYCAKqrq+Hv72/aMToxOWwUFxcjMTER27dvx0svvYQlS5YgKSkJ58+ft+jA1rr5uA1KNRsu2p4EDuGT8HGzwvh6G5VNalTL2UAhYNjbL20a9r/VGiC/Qo3f9Te8j+KarldFzLVirBj5lWpk5irxxQVdepk/0gNrXzatAE7NB74I2sA+0fL+cV3SOjXP22AxOU5fXwFOzfPGq5nNyC5uQ3ax48vZ6nvqxNBTKo7CeHii9/S1qDiUSoHDAiKRCJJOhZw8PT3R3NysN2ysXLkSy5cv176uq6vDgAEDUFpaavEvOVfX0NCAfv36oaysDH5+fs5ujs1R/9xffX09+vfvjyArJpGaHDZu376N9evXY8aMGQCARYsW4Y033rD4wNbKq2AH+jeiRPj0VfaX2b+dUuBIoQp5j42HAG5ippeIHfCXvyDBiWIV/nSyBb/UapBvQmCxRdhgGAZ7/8ULW+I8kV2sQpsGmDxYhEAv0ydpBnox0KT6oaCyDT89bEOojwATBgo7zP0w5pVIEVSrfHGqpA0XylRYc8YGl21MZOjxVlcIHAKJNwUOCwUFBSE/P7/De42NjRCL9V+1k0gkXcIJAPj7+/P2FznHz8+P132k/rk/gaE5JkaYHDbi4+M7vC4sLERUVFS323e+98rd87GFiiY1ng0TIO01Tzz/lO6S/3/O8sblf6rw0SkFKprU6C3t/gdTVKPGsjFirBwn1m43fYQHEoaJsPeGEmceGA8bMqX5bb9d2X1AiQpm21FSp0ZJnfn7BnS3VXJNCFz6BHszGBzkuNsopqyjQYFDx90CR0xMDDIyMrSvS0pKoFAorPoLiRDifiyaINra2oqNGzd2uNzZWbf3Xm0g2IvBD/P0rz8xJlyEk/NEaFMbnnORONJD71/+IgGD/zNKjHdHGp+zsfZlsckrjioUCggYYO53xh9FdQUCBh3Coj2Ys2AXBQ6dzoHDa+BzDm+DqV588UU0NDRg9+7dSExMRFpaGsaPHw+h0DnzggghzmFR2EhNTYVUKkVSUlK323S+98rd17IFU24PGNvG2u+bug1HIpFArQE8B8dCGhVr8ufaa/lnAZryshE0aQkYxrJf1vU/fQcA8I/pftKRqqEC9eez9F7OthVLVgalwKHTPnC0yaodfnxTiUQi7Ny5E7Nnz0ZKSgoEAgFOnz5t8uclEglSU1Pt+m/R2fjeR+qf+7NFH80OG6dOnUJ6ejouXboEDwPP/XZ377Wnaym6hJaiS1bto+bY/7O6HdVHt1i9D0tZswQ5BQ6dzlc4XEXnx+OmTp2K4uJiXLt2DbGxsQgODjZ5XxKJBGvWrLFxC10L3/tI/XN/tuijWWGjpKQEs2fPRnp6OoYPH27VgXsqcd/fwHeUZRNrm27loKXkZwRNWgpGZGCBFwOqv98IAAiO7/5xMVX9Y7sNYLaodUKBQydg7Cy0yaohu27io3ROEhYW5tQJ5YQQ5zI5bMjlcsTHx2PatGlISEiA7MkSplKp1PI6BybQaDT4+JQC778gRoi3ZTNhq5rV2HyxFZ++ZnzNie78d6ESDAPED7FskOd4DXoOPiNesfjzLSU/w2fEKxaHjeY75wDAYBsU5UV2CRu2LKpGgUPHJzrO5cMGIaRnM3n0zs7ORkFBATIyMuDr66v9evDAvrUjfixtQ9qPrYjdaXnZ8zE7m5D2Yyt+LLWsqqlGo8HUA3JM+Vpu1QpqPZk9qreaUp6+PXvUOeECh7jXADw+uMppS5sTQogrMzlsTJs2DRqNpssXV9nRXnZeZ58vLZdpIGs1f6CXtWpQLmM/t/NnC55VBfD3e7qQ8o97zinD7upkN493+z17lok3NXAoHhWiOnubTY/NocBBSM9SV1eHy5cvo7a21tlNcRvOr7xlQFGNGvtusgGhWQls+8n8haa+/KkV8icZ46ubSrMX4tJoNFido4CQYSvBrj6toKsbesiuH9VbLMyeQYNjLHBwy557BIbZ5fgABQ57yM/PR0xMDAIDA5GSksKb/++qqqoQGRnZoTouX/p65MgRDBw4ECKRCCNHjsTt27cB8Kd/AHDo0CFEREQgKSkJ4eHhOHToEAB+9ZEzadIkbZXmM2fOYNiwYQgJCcGmTZvM3pfLho2F38sRu7MJ3NOlGrArhMZkyDDvOznWnVHgQL6yQ9GyiiY1DuQrse6MAvO+kyMmQ4aPTynAnXIBw95SeS2zCYv/Lsfmiwr8/a4S6nb/KHLL27Dz51Z8cKIFCQebMeSvTbherkabhl3O/Odf1Rj61yYkHGzGXy7Zdx0Kd+Lz7OQu1UkdETQ43QUOLmiIew1A0ISFdm0DBQ7bsWlpehdSVVWF+Pj4DkGDL33lSlqsX78eDx8+xJAhQ5CUlMSb/gHsst2LFy/G2bNnkZeXh/T0dKSkpPCqj5z9+/fj+HH2inVlZSWmTp2K2bNn4+LFi9i/fz9ycnLM2p/Lho2fHrG1S1TtLkQo1cDVR+zVjtWnFcjKU8Jfopuc6i9hkJXHfm/fTSWuPlJ3KNSmUgPVcg1OlbRh21UlkrMVeNSogaDdBFexEFiVo8AXF1px5I4KRXquhNyrUePIHRUyb9ItFY5PdFyHcuiODBqczoFDfv+GNmj0nr4WjIflE4RNRYHDNmxWmt7FzJo1C3PmzOnwHl/62r6kRWhoKBYtWoTr16/zpn8Au17Uli1bEB0dDQAYNWoUqquredVHAKipqUFycjKGDmUnvO/fvx99+/bFqlWrEBUVhdWrV5vdP5cNG8Yk/EaEwzO8IBHpgoJExODwDC8k/MbwQzbMk6//mOaJ34/uWKNhWC8hzr7rjTAfBkIDPx2hAAj2sqIDPBQwdpY2cDg6aHC4wKF4eBsVBz+GyL+3w59UocBhPXNL07uLjIwMLF26tMN7fOlrfHw83nvvPe1rrqQFX/oHAP369cM777wDAFAqldi8eTMSEhJ41UcASE5ORkJCAmJj2QUoc3Nz8corr2ifPH3++edx7do1s/bpdmGDATBjhAgH3/aCWNj1kVuxkMHBt70wfYQIhh7I/SrBC++O1F8MKipYiPPzpQiVMtBzCAgZIFTKYPc0ShtEPwoc1jFUmt6dte8Th4995UpaLFy4kJf9y83NRVhYGI4dO4atW7fyqo85OTk4efIkNmzYoH2vc//8/Pzw6NEjs/brsmFjcJD+qKAB8NlrnvDQlwKe8BAy+Ow1T3Q3PSc6VIB3og2vUzEwUIAlz+sPIxoAS8eITSrf3pO0v3XS/paKI3FzNCRPDUPvmX+Gqr7CpMdi7YECh+UMlabnGz72tX1JCz72Lzo6GtnZ2YiKiuJVH1taWrBgwQJs27YNvr6+2vc798+SvrnsaPmgThcVOueKgkrjFVk7b9N+H4XV6g6TQrvdR5Ua3HQO7mkUgJ1oWmCgemtPJLt5vMOtk/a3VBwVONpPBu09fS28IkZ2mMOhUbY4pB3tUeCwTFBQECorKzu8Z6g0vTvjW1+5khZZWVnw8PDgXf8A9srF6NGjsXfvXvztb3/jTR/XrVuHmJiYLqv9du6fJX1z2bChVEN7G2TiIBF8xNA+mZJfYXyg57YRMICvGJgwiC1cxgBoUQH364yHjRvlbdoJqkNDBBgawv64VGr2e0RHdv1olzkajgwcnYMGN0ej/aTRmhPb7dqG7lDgMF9MTAwuXryofc3n0vR86qu+khZ86t+ZM2eQkpKifS0Wi8EwDIYNG8aLPmZlZeHIkSMICAhAQEAAsrKysHjxYuzdu7dD/65fv46nnnrKrH27bNgAgEmDRbixQIp/vOON0mW++GCsGBIhkG/CVYX8CjU8RcCH/0uMB8t8cfQdKa4vkGLSYHby6K0Kw2GhTa3B3Wo1Bvgz2P+mF/IWSZG3SIr9b3phgD+Du9Vqo2XsexKfZyfrnQzqiMDRXdDgcIFDWVtul+ObggKHedqXpgfA69L0fOmrvpIWMpkM48aN40X/AGDIkCHYsWMHduzYgbKyMnz00UeYOHEiXn/9dV708dy5c8jPz8eNGzdw48YNTJ06FZ988glKS0tx/vx5/PDDD1AqldiwYQPi4uLM2rdFJeYdYdcUT8wfpbtME+jF4LPxnlg6Rozv7hh/5HRsPyH+faIEYT66PDUyTIh/vOONH0tVaDKyPli1XIMtcZ6Y/6xHh/khc37rgenDRfiP60rUKyhscHyiu/+H17k6qS2fUDEWNDiSvkMRPHERqv+x2WbHNper1FJxB9aWpncnfOkrV9KCK2vBKSkp4UX/AKBPnz44fPgwli1bhhUrViAuLg6ZmZm8OYfh4eEdXvv4+CAkJAQhISHYvHkzXn/9dfj4+CAgIMDsdURcNmyM7KM/EfbxFWBxjPF7RYa2+V1/493uLRVgwXP69+EhZLDgOTF+/pVupZjKHoHD1KDB8eg1wOpjWosCh+msKU3v6jqvLsmHvnIlLfSJiIhw+/5xJkyYgFu3bnV5nw/nsLP2gWLhwoWIi4vDnTt3MG7cOPj4+Ji1L5cNG3wlL74KkX+oRZ9tusWu2Ca7lWNx1Vd50RXtPrqjqn9s0b6NsWXgMDdouBIKHKbrSaXp+d5XvvcP4H8fIyMj9T6+bQqXDRu33eBpD0va2ProDqof3bHquDXHtlr1eQCo/n6j1fuwhC0ChzsHDQ4FDkJIT+JyYUOhUEDAAHO/kzu7KSYRMGybTeX3wiwEjJ1p0bFkt3JQc2wr+i37BozQsisbFd9+AgDo/dbqbrdpfVyM8n0rLNq/KawJHHwIGhwKHISQnsLlwoZEIoFaA/iPm2vx7QZHUdU/Rv25fV0WczGEEYksvgXCfY4Reli/D0OfF9r/n4UlgYNPQYNDgYMQ0hO4XNjgiPxD4RHcz9nNIHZkTuDgY9DgUOAghPCdy4YNZ80pII5lSuDgc9DgUOAghPCZy4aN4Phkl7+yoawuo1BkA4YCR08IGhwKHIQQvnLZsOER3A+SsMHObgZxEH2BoycFDQ4FDkIIH7ls2CA9T/vA0frrPbSU5jk9aDizeBsFDkIIX7h0bRTS8wSMnQWvwWMgL7oMTWuz069o1JzYTuXpCSHEShQ2iEtRPCpES2me9nXDtf9yYmsAZW05Kg6lUuAghBArUNggLqP9HI1+y75xWHl6Q4InLkJr5QMKHIQQYgUKG8Ql6JsM6ojy9MZ49BqA0JnrKHAQQogVXHaCaOW3f7Z4lUxH0aiUzm4CLxh66sSe5elNJek7FKEz1+HxwVWoOJTqlHkkNGmUEOLOXDZseEY+A6E00NnNMKitqRZNeSed3Qy3ZsrjrRQ4WBQ4CCHuymXDhu+oKS6/zoaivIjChhXMWUeDAgdLX+CAQOjQNhBCiLlozgZxCksW7HKFORxc4HClORzKygcObwMhhJjDZa9s8BW7YNVdiz4rL7oCgC0Tb+l8lvb76I66pcmifZvKmpVB6QoHq/0VjursbQ49NiGEmMvsKxv5+fmIiYlBYGAgUlJSoNFo7NEuwlO2WIKcrnCwuMDhERjm8GMTQog5zLqyoVAoMGXKFMTFxeHAgQNYunQp9uzZg8TERHu1j3f8x821+K9x2a0cVH+/Eb3fWm3xlQ3uikbvt1Z3u42ivAjle5dZtH9DbFnrhK5wsAQSbwRNWIjHWX9y6HEJIcQcZl3ZOHr0KOrr67Fp0yYMGjQIaWlp2LVrl73aRnjEHkXVzL3CYY86J65whYPx8HT4MQkhxBxmXdnIzc1FbGwsvL3ZgSI6OhoFBQV6t1UoFFAoFNrX9fX1AICGhgaDx5DJZACAunNfQeDpY07zHE7dwrZVJpOZ3C9V3WPIS/MtOp6yugwA0FJ2CxBaNt2mrZltp6E2KGv+CcC8fjXfOQ91q/7BXFlVitpTuyAKCIXf2JlQPP7FkqbrJQl/GtLo8ag/tw+q+nJIR4zXu51G1YKaE9u1bTa1X4ryom771V7AS++i9tQu/PrVCgS+Oh+MyHEBwNTzxX2Pbn0SQhyN0Zjxmyc5ORktLS1IT0/XvterVy/cvXsXgYEd18RYs2YN1q5da7uWEkJsoqysDOHh4c5uBiGkBzHrz2ORSASJRNLhPU9PTzQ3N3cJGytXrsTy5cu1r9VqNWpqahAcHAyGYaxosmUaGhrQr18/lJWVwc/Pz+HHtwc+9gmgftmLRqNBY2Mj+vbt6/BjE0J6NrPCRlBQEPLzO15+b2xshFgs7rKtRCLpEkwCAgLMb6GN+fn58WoAA/jZJ4D6ZQ/+/v5OOS4hpGcza4JoTEwMLl68qH1dUlIChUKBoKAgmzeMEEIIIfxgVth48cUX0dDQgN27dwMA0tLSMH78eAiFtFwyIYQQQvQze87Gzp07MXv2bKSkpEAgEOD06dN2apptSSQSpKamdrm148742CeA+kUIIXxj1tMonPLycly7dg2xsbEIDg62R7sIIYQQwhMWhQ1CCCGEEFNR1VdCCCGE2BWFDeJy6urqcPnyZdTW1jq7KYQQQmygR4SNqqoqREZG4v79+85uis0cOXIEAwcOhEgkwsiRI3H79m1nN8kmDh06hIiICCQlJSE8PByHDh1ydpNsbtKkSdizZ4+zm0EIIQ7D+7BRVVWF+Ph4XgWN4uJiJCYmYv369Xj48CGGDBmCpKQkZzfLavX19Vi8eDHOnj2LvLw8pKenIyUlxdnNsqn9+/fj+PHjzm4GIYQ4FO/DxqxZszBnzhxnN8Ombt++jfXr12PGjBkIDQ3FokWLcP36dWc3y2oNDQ3YsmULoqOjAQCjRo1CdXW1k1tlOzU1NUhOTsbQoUOd3RRCCHEo3j+NUlJSgsjISDAMg5KSEkRERDi7STa3fft2bNu2Dbm5uc5uis0olUq89957aGtrQ2ZmprObYxOJiYnw9PSEXC7Hyy+/jHfffdfZTSKEEIewrE65G4mMjHR2E+yqtbUVGzdu7FD0zt3l5ubi1VdfhVgs5s1clJycHJw8eRK3bt3CkiVLnN0cQghxKN7fRuG71NRUSKVSXszZ4ERHRyM7OxtRUVG86FdLSwsWLFiAbdu2wdfX19nNIYQQh+P9lQ0+O3XqFNLT03Hp0iV4eHg4uzk2wzAMRo8ejb1792LQoEGoq6tziYrBllq3bh1iYmLwxhtvOLsphBDiFBQ23FRJSQlmz56N9PR0DB8+3NnNsYkzZ87g+++/xxdffAEAEIvFYBgGAoF7X4DLyspCZWWlNjA1Nzfjm2++wZUrV/Dll186t3GEEOIAFDbckFwuR3x8PKZNm4aEhATIZDIAgFQqBcMwTm6d5YYMGYIdO3YgKioKkydPxscff4yJEyfCz8/P2U2zyrlz56BSqbSvV6xYgdjYWJogSgjpMdz7T8YeKjs7GwUFBcjIyICvr6/268GDB85umlX69OmDw4cP4y9/+QtGjBiB5uZmXjyJEh4ejoiICO2Xj48PQkJCEBIS4uymEUKIQ/D+0VdCCCGEOBdd2SCEEEKIXVHYIIQQQohdUdgghBBCiF1R2CCEEEKIXVHYIIQQQohdUdgghBBCiF1R2CCEEEKIXVHYIIQQQohdUdgghBBCiF1R2CCEEEKIXVHYIIQQQohd/Q/zpe1+5x0EoAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from matplotlib.patches import Ellipse, Polygon\n",
    "\n",
    "x = np.arange(1, 5)\n",
    "y1 = np.arange(1, 5)\n",
    "y2 = np.ones(y1.shape) * 4\n",
    "\n",
    "fig = plt.figure()\n",
    "axs = fig.subplot_mosaic([['bar1', 'patches'], ['bar2', 'patches']])\n",
    "\n",
    "axs['bar1'].bar(x, y1, edgecolor='black', hatch=\"/\")\n",
    "axs['bar1'].bar(x, y2, bottom=y1, edgecolor='black', hatch='//')\n",
    "\n",
    "axs['bar2'].bar(x, y1, edgecolor='black', hatch=['--', '+', 'x', '\\\\'])\n",
    "axs['bar2'].bar(x, y2, bottom=y1, edgecolor='black',\n",
    "                hatch=['*', 'o', 'O', '.'])\n",
    "\n",
    "x = np.arange(0, 40, 0.2)\n",
    "axs['patches'].fill_between(x, np.sin(x) * 4 + 30, y2=0,\n",
    "                            hatch='///', zorder=2, fc='c')\n",
    "axs['patches'].add_patch(Ellipse((4, 50), 10, 10, fill=True,\n",
    "                                 hatch='*', facecolor='y'))\n",
    "axs['patches'].add_patch(Polygon([(10, 20), (30, 50), (50, 10)],\n",
    "                                 hatch='\\\\/...', facecolor='g'))\n",
    "axs['patches'].set_xlim([0, 40])\n",
    "axs['patches'].set_ylim([10, 60])\n",
    "axs['patches'].set_aspect(1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
